What is the Greatest Common Factor of 62951 and 62965?

Greatest common factor (GCF) of 62951 and 62965 is 7.

GCF(62951,62965) = 7

We will now calculate the prime factors of 62951 and 62965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62951 and 62965.

How to find the GCF of 62951 and 62965?

We will first find the prime factorization of 62951 and 62965. After we will calculate the factors of 62951 and 62965 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 62965

Prime factors of 62965 are 5, 7, 257. Prime factorization of 62965 in exponential form is:

62965 = 5¹ × 7² × 257¹

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 62965

List of positive integer factors of 62965 that divides 62951 without a remainder.

1, 5, 7, 35, 49, 245, 257, 1285, 1799, 8995, 12593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62951 and 62965. The biggest common factor number is the GCF number.
So the greatest common factor 62951 and 62965 is 7.

Also check out the Least Common Multiple of 62951 and 62965