GCF (HCF) of 96 and 144

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What is the Greatest Common Divisor of 96 and 144?

Answer

GCF (HCF) of 96 and 144 is
48

Common factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

48 divides both: 96 ÷ 48 = 2, 144 ÷ 48 = 3 — and 2 and 3 share no factor but 1, so no larger number divides both.

96 = 25 × 3

144 = 24 × 32

Prime96144Lowest power
2252424
33323

GCF = 24 × 3 = 48

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GCF Table

Number 1Number 2GCF
961293
961302
961311
9613212
961331
961342
961353
961368
961371
961386
961391
961404
961413
961422
961431
9614448
961451
961462
961473
961484
961491
961506
961511
961528
961533
961542
961551
9615612
961571
961582

FAQ

What is the Greatest Common Divisor of 96 and 144?

GCF (HCF) of 96 and 144 is 48

How to find the GCF of 96 and 144?

You can find the GCF of 96 and 144 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 96 and 144 is 48.

What prime factors do 96 and 144 share?

The prime factorizations of 96 and 144 have 2 × 2 × 2 × 2 × 3 in common, and multiplying those shared primes gives 48 — exactly the greatest common factor.

How does the GCF reduce the fraction 96/144?

Divide the numerator and the denominator by the GCF 48: 96 ÷ 48 = 2 and 144 ÷ 48 = 3. So 96/144 in lowest terms is 2/3.

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