What is the Greatest Common Factor of 62934 and 62951?

Greatest common factor (GCF) of 62934 and 62951 is 17.

GCF(62934,62951) = 17

We will now calculate the prime factors of 62934 and 62951, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62934 and 62951.

How to find the GCF of 62934 and 62951?

We will first find the prime factorization of 62934 and 62951. After we will calculate the factors of 62934 and 62951 and find the biggest common factor number .

Step-1: Prime Factorization of 62934

Prime factors of 62934 are 2, 3, 17, 617. Prime factorization of 62934 in exponential form is:

62934 = 2¹ × 3¹ × 17¹ × 617¹

Step-2: 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-3: Factors of 62934

List of positive integer factors of 62934 that divides 62934 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 617, 1234, 1851, 3702, 10489, 20978, 31467

Step-4: Factors of 62951

List of positive integer factors of 62951 that divides 62934 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62934 and 62951. The biggest common factor number is the GCF number.
So the greatest common factor 62934 and 62951 is 17.

Also check out the Least Common Multiple of 62934 and 62951