What is the Greatest Common Factor of 62961 and 62972?

Greatest common factor (GCF) of 62961 and 62972 is 1.

GCF(62961,62972) = 1

We will now calculate the prime factors of 62961 and 62972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62961 and 62972.

How to find the GCF of 62961 and 62972?

We will first find the prime factorization of 62961 and 62972. After we will calculate the factors of 62961 and 62972 and find the biggest common factor number .

Step-1: Prime Factorization of 62961

Prime factors of 62961 are 3, 31, 677. Prime factorization of 62961 in exponential form is:

62961 = 3¹ × 31¹ × 677¹

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 62961

List of positive integer factors of 62961 that divides 62961 without a remainder.

1, 3, 31, 93, 677, 2031, 20987

Step-4: Factors of 62972

List of positive integer factors of 62972 that divides 62961 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 62961 and 62972. The biggest common factor number is the GCF number.
So the greatest common factor 62961 and 62972 is 1.

Also check out the Least Common Multiple of 62961 and 62972