What is the Greatest Common Factor of 62968 and 62977?

Greatest common factor (GCF) of 62968 and 62977 is 1.

GCF(62968,62977) = 1

We will now calculate the prime factors of 62968 and 62977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62968 and 62977.

How to find the GCF of 62968 and 62977?

We will first find the prime factorization of 62968 and 62977. After we will calculate the factors of 62968 and 62977 and find the biggest common factor number .

Step-1: Prime Factorization of 62968

Prime factors of 62968 are 2, 17, 463. Prime factorization of 62968 in exponential form is:

62968 = 2³ × 17¹ × 463¹

Step-2: Prime Factorization of 62977

Prime factors of 62977 are 71, 887. Prime factorization of 62977 in exponential form is:

62977 = 71¹ × 887¹

Step-3: Factors of 62968

List of positive integer factors of 62968 that divides 62968 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 463, 926, 1852, 3704, 7871, 15742, 31484

Step-4: Factors of 62977

List of positive integer factors of 62977 that divides 62968 without a remainder.

1, 71, 887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62968 and 62977. The biggest common factor number is the GCF number.
So the greatest common factor 62968 and 62977 is 1.

Also check out the Least Common Multiple of 62968 and 62977