GCF (HCF) of 154 and 210

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What is the Greatest Common Divisor of 154 and 210?

Answer

GCF (HCF) of 154 and 210 is
14

Common factors: 1, 2, 7, 14

14 divides both: 154 ÷ 14 = 11, 210 ÷ 14 = 15 — and 11 and 15 share no factor but 1, so no larger number divides both.

154 = 2 × 7 × 11

210 = 2 × 3 × 5 × 7

Prime154210Lowest power
2222
3—3—
5—5—
7777
1111——

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

GCF = 2 × 7 = 14

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GCF Table

Number 1Number 2GCF
1541951
15419614
1541971
15419822
1541991
1542002
1542011
1542022
1542037
1542042
1542051
1542062
1542071
1542082
15420911
15421014
1542111
1542122
1542131
1542142
1542151
1542162
1542177
1542182
1542191
15422022
1542211
1542222
1542231
15422414

FAQ

What is the Greatest Common Divisor of 154 and 210?

GCF (HCF) of 154 and 210 is 14

How to find the GCF of 154 and 210?

You can find the GCF of 154 and 210 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 154 and 210 is 14.

What prime factors do 154 and 210 share?

The prime factorizations of 154 and 210 have 2 × 7 in common, and multiplying those shared primes gives 14 — exactly the greatest common factor.

How does the GCF reduce the fraction 154/210?

Divide the numerator and the denominator by the GCF 14: 154 ÷ 14 = 11 and 210 ÷ 14 = 15. So 154/210 in lowest terms is 11/15.

See Also