What is the Greatest Common Factor of 94542 and 94557?

Greatest common factor (GCF) of 94542 and 94557 is 3.

GCF(94542,94557) = 3

We will now calculate the prime factors of 94542 and 94557, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94542 and 94557.

How to find the GCF of 94542 and 94557?

We will first find the prime factorization of 94542 and 94557. After we will calculate the factors of 94542 and 94557 and find the biggest common factor number .

Step-1: Prime Factorization of 94542

Prime factors of 94542 are 2, 3, 7, 2251. Prime factorization of 94542 in exponential form is:

94542 = 2¹ × 3¹ × 7¹ × 2251¹

Step-2: Prime Factorization of 94557

Prime factors of 94557 are 3, 43, 733. Prime factorization of 94557 in exponential form is:

94557 = 3¹ × 43¹ × 733¹

Step-3: Factors of 94542

List of positive integer factors of 94542 that divides 94542 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2251, 4502, 6753, 13506, 15757, 31514, 47271

Step-4: Factors of 94557

List of positive integer factors of 94557 that divides 94542 without a remainder.

1, 3, 43, 129, 733, 2199, 31519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94542 and 94557. The biggest common factor number is the GCF number.
So the greatest common factor 94542 and 94557 is 3.

Also check out the Least Common Multiple of 94542 and 94557