What is the Greatest Common Factor of 62940 and 62960?

Greatest common factor (GCF) of 62940 and 62960 is 20.

GCF(62940,62960) = 20

We will now calculate the prime factors of 62940 and 62960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62940 and 62960.

How to find the GCF of 62940 and 62960?

We will first find the prime factorization of 62940 and 62960. After we will calculate the factors of 62940 and 62960 and find the biggest common factor number .

Step-1: Prime Factorization of 62940

Prime factors of 62940 are 2, 3, 5, 1049. Prime factorization of 62940 in exponential form is:

62940 = 2² × 3¹ × 5¹ × 1049¹

Step-2: 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-3: Factors of 62940

List of positive integer factors of 62940 that divides 62940 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1049, 2098, 3147, 4196, 5245, 6294, 10490, 12588, 15735, 20980, 31470

Step-4: Factors of 62960

List of positive integer factors of 62960 that divides 62940 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62940 and 62960. The biggest common factor number is the GCF number.
So the greatest common factor 62940 and 62960 is 20.

Also check out the Least Common Multiple of 62940 and 62960