GCF (HCF) of 98 and 105

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 98 and 105?

Answer

GCF (HCF) of 98 and 105 is
7

Common factors: 1, 7

7 divides both: 98 ÷ 7 = 14, 105 ÷ 7 = 15 — and 14 and 15 share no factor but 1, so no larger number divides both.

98 = 2 × 72

105 = 3 × 5 × 7

Prime98105Lowest power
22——
3—3—
5—5—
77277

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

GCF = 7

More with these numbers

Related Calculations

See Also

GCF Table

Number 1Number 2GCF
98902
98917
98922
98931
98942
98951
98962
98971
989898
98991
981002
981011
981022
981031
981042
981057
981062
981071
981082
981091
981102
981111
9811214
981131
981142
981151
981162
981171
981182
981197

FAQ

What is the Greatest Common Divisor of 98 and 105?

GCF (HCF) of 98 and 105 is 7

How to find the GCF of 98 and 105?

You can find the GCF of 98 and 105 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 98 and 105 is 7.

What prime factors do 98 and 105 share?

The prime factorizations of 98 and 105 have 7 in common, and multiplying those shared primes gives 7 — exactly the greatest common factor.

How does the GCF reduce the fraction 98/105?

Divide the numerator and the denominator by the GCF 7: 98 ÷ 7 = 14 and 105 ÷ 7 = 15. So 98/105 in lowest terms is 14/15.

See Also