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Up to six funds side by side, and how much of each is the same portfolio as the others. Overlap is Σ min(weight) over the stocks both hold, from the latest disclosures.

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Overlap

share of the portfolio the two funds hold in common

ICICI Prudential Money MarketHDFC Money Market
ICICI Prudential Money Market
itself
24%
HDFC Money Market
24%
itself

Most alike: ICICI Prudential Money Market Fund and HDFC Money Market Fund share 24% of their portfolios. Two funds this different are doing different things; whether that is what you want is a separate question.

Side by side

record, cost, returns, drawdown, size

MeasureICICI Prudential Money MarketHDFC Money Market
CategoryMoney MarketMoney Market
Share of three-year stretches it beat its category P488% of 10985% of 109
Regular plan costs more than Direct by, a year P5not measured0.27%
Portfolio turned over a year P1not measurednot measured
Run by P7Nikhil Kabra · 10 yrsnot known
1-year return6.5%6.6%
3 years p.a.7.4%7.4%
5 years p.a.6.7%6.8%
Deepest fall (max drawdown)−0.2%−0.1%
Assets (AUM)₹30,104 Cr₹33,193 Cr
Disclosed history6.2 yrs2.3 yrs
Holdings · top ten weight144 · 26%135 · 24%

Funds in different categories are not comparable on returns — a category error is the first thing the postulates refuse to make. Compare each to its own category on its fund page.