GCF for 36, 48 and 144

"Greatest Common Factor of 3 Numbers" Calculator
Greatest Common Factor of
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What's the Greatest Common Factor (GCF) of 36, 48 and 144?

Answer

GCF of 36, 48 and 144 is
12

Common factors: 1, 2, 3, 4, 6, 12

12 divides all three: 36 ÷ 12 = 3, 48 ÷ 12 = 4, 144 ÷ 12 = 12 — and 3, 4 and 12 have no factor but 1 common to all of them, so no larger number divides all three.

36 = 22 × 32

48 = 24 × 3

144 = 24 × 32

Prime3648144Lowest power
222242422
3323323

GCF = 22 × 3 = 12

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GCF Table

1st2nd3rdGCF
36481293
36481302
36481311
364813212
36481331
36481342
36481353
36481364
36481371
36481386
36481391
36481404
36481413
36481422
36481431
364814412
36481451
36481462
36481473
36481484
36481491
36481506
36481511
36481524
36481533
36481542
36481551
364815612
36481571
36481582

FAQ

What's the Greatest Common Factor (GCF) of 36, 48 and 144?

GCF of 36, 48 and 144 is 12

What prime factors do 36, 48 and 144 share?

All three factorizations contain 2 × 2 × 3, and multiplying those shared primes gives 12 — exactly the greatest common factor.

Can you get the GCF of 36, 48 and 144 two numbers at a time?

Yes. The GCF of 36 and 48 is 12, and the GCF of 12 and 144 is 12 — the same answer, because the greatest common factor is associative and does not depend on the order of the three numbers.

How does the GCF simplify the ratio 36 : 48 : 144?

Divide every term by the GCF 12: 36 ÷ 12 = 3, 48 ÷ 12 = 4 and 144 ÷ 12 = 12. So 36 : 48 : 144 in lowest terms is 3 : 4 : 12, and no whole number other than 1 divides all three of those.

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