What is the Greatest Common Factor of 62960 and 62980?

Greatest common factor (GCF) of 62960 and 62980 is 20.

GCF(62960,62980) = 20

We will now calculate the prime factors of 62960 and 62980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62960 and 62980.

How to find the GCF of 62960 and 62980?

We will first find the prime factorization of 62960 and 62980. After we will calculate the factors of 62960 and 62980 and find the biggest common factor number .

Step-1: Prime Factorization of 62960

Prime factors of 62960 are 2, 5, 787. Prime factorization of 62960 in exponential form is:

62960 = 2⁴ × 5¹ × 787¹

Step-2: Prime Factorization of 62980

Prime factors of 62980 are 2, 5, 47, 67. Prime factorization of 62980 in exponential form is:

62980 = 2² × 5¹ × 47¹ × 67¹

Step-3: Factors of 62960

List of positive integer factors of 62960 that divides 62960 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 787, 1574, 3148, 3935, 6296, 7870, 12592, 15740, 31480

Step-4: Factors of 62980

List of positive integer factors of 62980 that divides 62960 without a remainder.

1, 2, 4, 5, 10, 20, 47, 67, 94, 134, 188, 235, 268, 335, 470, 670, 940, 1340, 3149, 6298, 12596, 15745, 31490

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62960 and 62980. The biggest common factor number is the GCF number.
So the greatest common factor 62960 and 62980 is 20.

Also check out the Least Common Multiple of 62960 and 62980