GCF (HCF) of 22 and 30

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Greatest Common Factor of
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What is the Greatest Common Divisor of 22 and 30?

Answer

GCF (HCF) of 22 and 30 is
2

Common factors: 1, 2

2 divides both: 22 ÷ 2 = 11, 30 ÷ 2 = 15 — and 11 and 15 share no factor but 1, so no larger number divides both.

22 = 2 × 11

30 = 2 × 3 × 5

Prime2230Lowest power
2222
3—3—
5—5—
1111——

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

GCF = 2

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GCF Table

Number 1Number 2GCF
22242
22251
22262
22271
22302
223311
22342
22351
22422
22431
224422
22451
22462
22482
22511
22522
225511
22562
22602
228822
229911
221051
2212111

FAQ

What is the Greatest Common Divisor of 22 and 30?

GCF (HCF) of 22 and 30 is 2

How to find the GCF of 22 and 30?

You can find the GCF of 22 and 30 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 22 and 30 is 2.

What prime factors do 22 and 30 share?

The prime factorizations of 22 and 30 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.

How does the GCF reduce the fraction 22/30?

Divide the numerator and the denominator by the GCF 2: 22 ÷ 2 = 11 and 30 ÷ 2 = 15. So 22/30 in lowest terms is 11/15.

See Also