What is the Greatest Common Factor of 75942 and 75957?

Greatest common factor (GCF) of 75942 and 75957 is 3.

GCF(75942,75957) = 3

We will now calculate the prime factors of 75942 and 75957, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75942 and 75957.

How to find the GCF of 75942 and 75957?

We will first find the prime factorization of 75942 and 75957. After we will calculate the factors of 75942 and 75957 and find the biggest common factor number .

Step-1: Prime Factorization of 75942

Prime factors of 75942 are 2, 3, 4219. Prime factorization of 75942 in exponential form is:

75942 = 2¹ × 3² × 4219¹

Step-2: Prime Factorization of 75957

Prime factors of 75957 are 3, 7, 3617. Prime factorization of 75957 in exponential form is:

75957 = 3¹ × 7¹ × 3617¹

Step-3: Factors of 75942

List of positive integer factors of 75942 that divides 75942 without a remainder.

1, 2, 3, 6, 9, 18, 4219, 8438, 12657, 25314, 37971

Step-4: Factors of 75957

List of positive integer factors of 75957 that divides 75942 without a remainder.

1, 3, 7, 21, 3617, 10851, 25319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75942 and 75957. The biggest common factor number is the GCF number.
So the greatest common factor 75942 and 75957 is 3.

Also check out the Least Common Multiple of 75942 and 75957