What is the Greatest Common Factor of 95142 and 95157?

Greatest common factor (GCF) of 95142 and 95157 is 3.

GCF(95142,95157) = 3

We will now calculate the prime factors of 95142 and 95157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95142 and 95157.

How to find the GCF of 95142 and 95157?

We will first find the prime factorization of 95142 and 95157. After we will calculate the factors of 95142 and 95157 and find the biggest common factor number .

Step-1: Prime Factorization of 95142

Prime factors of 95142 are 2, 3, 101, 157. Prime factorization of 95142 in exponential form is:

95142 = 2¹ × 3¹ × 101¹ × 157¹

Step-2: Prime Factorization of 95157

Prime factors of 95157 are 3, 97, 109. Prime factorization of 95157 in exponential form is:

95157 = 3² × 97¹ × 109¹

Step-3: Factors of 95142

List of positive integer factors of 95142 that divides 95142 without a remainder.

1, 2, 3, 6, 101, 157, 202, 303, 314, 471, 606, 942, 15857, 31714, 47571

Step-4: Factors of 95157

List of positive integer factors of 95157 that divides 95142 without a remainder.

1, 3, 9, 97, 109, 291, 327, 873, 981, 10573, 31719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95142 and 95157. The biggest common factor number is the GCF number.
So the greatest common factor 95142 and 95157 is 3.

Also check out the Least Common Multiple of 95142 and 95157