GCF (HCF) of 212 and 312

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Greatest Common Factor of
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What is the Greatest Common Divisor of 212 and 312?

Answer

GCF (HCF) of 212 and 312 is
4

Common factors: 1, 2, 4

4 divides both: 212 ÷ 4 = 53, 312 ÷ 4 = 78 — and 53 and 78 share no factor but 1, so no larger number divides both.

212 = 22 × 53

312 = 23 × 3 × 13

Prime212312Lowest power
2222322
3—3—
13—13—
5353——

— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.

GCF = 22 = 4

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GCF Table

Number 1Number 2GCF
2122971
2122982
2122991
2123004
2123011
2123022
2123031
2123044
2123051
2123062
2123071
2123084
2123091
2123102
2123111
2123124
2123131
2123142
2123151
2123164
2123171
212318106
2123191
2123204
2123211
2123222
2123231
2123244
2123251
2123262

FAQ

What is the Greatest Common Divisor of 212 and 312?

GCF (HCF) of 212 and 312 is 4

How to find the GCF of 212 and 312?

You can find the GCF of 212 and 312 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 212 and 312 is 4.

What prime factors do 212 and 312 share?

The prime factorizations of 212 and 312 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.

How does the GCF reduce the fraction 212/312?

Divide the numerator and the denominator by the GCF 4: 212 ÷ 4 = 53 and 312 ÷ 4 = 78. So 212/312 in lowest terms is 53/78.

See Also