GCF (HCF) of 29 and 58

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 29 and 58?

Answer

GCF (HCF) of 29 and 58 is
29

Common factors: 1, 29

29 divides 58 (58 ÷ 29 = 2), so the GCF is the smaller number itself.

29 — prime

58 = 2 × 29

Prime2958Lowest power
2—2—
29292929

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

GCF = 29

More with these numbers

Related Calculations

See Also

GCF Table

Number 1Number 2GCF
29311
29321
29331
29341
29361
29371
29411
29431
29451
29501
29521
29541
29551
295829
29601
291001

FAQ

What is the Greatest Common Divisor of 29 and 58?

GCF (HCF) of 29 and 58 is 29

How to find the GCF of 29 and 58?

You can find the GCF of 29 and 58 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 29 and 58 is 29.

What prime factors do 29 and 58 share?

The prime factorizations of 29 and 58 have 29 in common, and multiplying those shared primes gives 29 — exactly the greatest common factor.

How does the GCF reduce the fraction 29/58?

Divide the numerator and the denominator by the GCF 29: 29 ÷ 29 = 1 and 58 ÷ 29 = 2. So 29/58 in lowest terms is 1/2.

See Also