What is the Greatest Common Factor of 62951 and 62968?

Greatest common factor (GCF) of 62951 and 62968 is 17.

GCF(62951,62968) = 17

We will now calculate the prime factors of 62951 and 62968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62951 and 62968.

How to find the GCF of 62951 and 62968?

We will first find the prime factorization of 62951 and 62968. After we will calculate the factors of 62951 and 62968 and find the biggest common factor number .

Step-1: Prime Factorization of 62951

Prime factors of 62951 are 7, 17, 23. Prime factorization of 62951 in exponential form is:

62951 = 7¹ × 17¹ × 23²

Step-2: Prime Factorization of 62968

Prime factors of 62968 are 2, 17, 463. Prime factorization of 62968 in exponential form is:

62968 = 2³ × 17¹ × 463¹

Step-3: Factors of 62951

List of positive integer factors of 62951 that divides 62951 without a remainder.

1, 7, 17, 23, 119, 161, 391, 529, 2737, 3703, 8993

Step-4: Factors of 62968

List of positive integer factors of 62968 that divides 62951 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 463, 926, 1852, 3704, 7871, 15742, 31484

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62951 and 62968. The biggest common factor number is the GCF number.
So the greatest common factor 62951 and 62968 is 17.

Also check out the Least Common Multiple of 62951 and 62968