What is the Greatest Common Factor of 95142 and 95154?

Greatest common factor (GCF) of 95142 and 95154 is 6.

GCF(95142,95154) = 6

We will now calculate the prime factors of 95142 and 95154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95142 and 95154.

How to find the GCF of 95142 and 95154?

We will first find the prime factorization of 95142 and 95154. After we will calculate the factors of 95142 and 95154 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 95154

Prime factors of 95154 are 2, 3, 15859. Prime factorization of 95154 in exponential form is:

95154 = 2¹ × 3¹ × 15859¹

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 95154

List of positive integer factors of 95154 that divides 95142 without a remainder.

1, 2, 3, 6, 15859, 31718, 47577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95142 and 95154. The biggest common factor number is the GCF number.
So the greatest common factor 95142 and 95154 is 6.

Also check out the Least Common Multiple of 95142 and 95154