What is the Greatest Common Factor of 57962 and 57977?

Greatest common factor (GCF) of 57962 and 57977 is 1.

GCF(57962,57977) = 1

We will now calculate the prime factors of 57962 and 57977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57962 and 57977.

How to find the GCF of 57962 and 57977?

We will first find the prime factorization of 57962 and 57977. After we will calculate the factors of 57962 and 57977 and find the biggest common factor number .

Step-1: Prime Factorization of 57962

Prime factors of 57962 are 2, 73, 397. Prime factorization of 57962 in exponential form is:

57962 = 2¹ × 73¹ × 397¹

Step-2: Prime Factorization of 57977

Prime factors of 57977 are 57977. Prime factorization of 57977 in exponential form is:

57977 = 57977¹

Step-3: Factors of 57962

List of positive integer factors of 57962 that divides 57962 without a remainder.

1, 2, 73, 146, 397, 794, 28981

Step-4: Factors of 57977

List of positive integer factors of 57977 that divides 57962 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57962 and 57977. The biggest common factor number is the GCF number.
So the greatest common factor 57962 and 57977 is 1.

Also check out the Least Common Multiple of 57962 and 57977