What is the Greatest Common Factor of 62965 and 62972?

Greatest common factor (GCF) of 62965 and 62972 is 7.

GCF(62965,62972) = 7

We will now calculate the prime factors of 62965 and 62972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62965 and 62972.

How to find the GCF of 62965 and 62972?

We will first find the prime factorization of 62965 and 62972. After we will calculate the factors of 62965 and 62972 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62972

Prime factors of 62972 are 2, 7, 13, 173. Prime factorization of 62972 in exponential form is:

62972 = 2² × 7¹ × 13¹ × 173¹

Step-3: Factors of 62965

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

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

Step-4: Factors of 62972

List of positive integer factors of 62972 that divides 62965 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 173, 182, 346, 364, 692, 1211, 2249, 2422, 4498, 4844, 8996, 15743, 31486

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62965 and 62972. The biggest common factor number is the GCF number.
So the greatest common factor 62965 and 62972 is 7.

Also check out the Least Common Multiple of 62965 and 62972