What is the Greatest Common Factor of 62972 and 62979?

Greatest common factor (GCF) of 62972 and 62979 is 7.

GCF(62972,62979) = 7

We will now calculate the prime factors of 62972 and 62979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62972 and 62979.

How to find the GCF of 62972 and 62979?

We will first find the prime factorization of 62972 and 62979. After we will calculate the factors of 62972 and 62979 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62979

Prime factors of 62979 are 3, 7, 2999. Prime factorization of 62979 in exponential form is:

62979 = 3¹ × 7¹ × 2999¹

Step-3: Factors of 62972

List of positive integer factors of 62972 that divides 62972 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

Step-4: Factors of 62979

List of positive integer factors of 62979 that divides 62972 without a remainder.

1, 3, 7, 21, 2999, 8997, 20993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62972 and 62979. The biggest common factor number is the GCF number.
So the greatest common factor 62972 and 62979 is 7.

Also check out the Least Common Multiple of 62972 and 62979