What is the Greatest Common Factor of 57944 and 57962?

Greatest common factor (GCF) of 57944 and 57962 is 2.

GCF(57944,57962) = 2

We will now calculate the prime factors of 57944 and 57962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57944 and 57962.

How to find the GCF of 57944 and 57962?

We will first find the prime factorization of 57944 and 57962. After we will calculate the factors of 57944 and 57962 and find the biggest common factor number .

Step-1: Prime Factorization of 57944

Prime factors of 57944 are 2, 7243. Prime factorization of 57944 in exponential form is:

57944 = 2³ × 7243¹

Step-2: 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-3: Factors of 57944

List of positive integer factors of 57944 that divides 57944 without a remainder.

1, 2, 4, 8, 7243, 14486, 28972

Step-4: Factors of 57962

List of positive integer factors of 57962 that divides 57944 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57944 and 57962. The biggest common factor number is the GCF number.
So the greatest common factor 57944 and 57962 is 2.

Also check out the Least Common Multiple of 57944 and 57962