What is the Greatest Common Factor of 62980 and 62996?

Greatest common factor (GCF) of 62980 and 62996 is 4.

GCF(62980,62996) = 4

We will now calculate the prime factors of 62980 and 62996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62980 and 62996.

How to find the GCF of 62980 and 62996?

We will first find the prime factorization of 62980 and 62996. After we will calculate the factors of 62980 and 62996 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62996

Prime factors of 62996 are 2, 15749. Prime factorization of 62996 in exponential form is:

62996 = 2² × 15749¹

Step-3: Factors of 62980

List of positive integer factors of 62980 that divides 62980 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

Step-4: Factors of 62996

List of positive integer factors of 62996 that divides 62980 without a remainder.

1, 2, 4, 15749, 31498

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62980 and 62996. The biggest common factor number is the GCF number.
So the greatest common factor 62980 and 62996 is 4.

Also check out the Least Common Multiple of 62980 and 62996