What is the Greatest Common Factor of 95138 and 95146?

Greatest common factor (GCF) of 95138 and 95146 is 2.

GCF(95138,95146) = 2

We will now calculate the prime factors of 95138 and 95146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95138 and 95146.

How to find the GCF of 95138 and 95146?

We will first find the prime factorization of 95138 and 95146. After we will calculate the factors of 95138 and 95146 and find the biggest common factor number .

Step-1: Prime Factorization of 95138

Prime factors of 95138 are 2, 47569. Prime factorization of 95138 in exponential form is:

95138 = 2¹ × 47569¹

Step-2: Prime Factorization of 95146

Prime factors of 95146 are 2, 113, 421. Prime factorization of 95146 in exponential form is:

95146 = 2¹ × 113¹ × 421¹

Step-3: Factors of 95138

List of positive integer factors of 95138 that divides 95138 without a remainder.

1, 2, 47569

Step-4: Factors of 95146

List of positive integer factors of 95146 that divides 95138 without a remainder.

1, 2, 113, 226, 421, 842, 47573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95138 and 95146. The biggest common factor number is the GCF number.
So the greatest common factor 95138 and 95146 is 2.

Also check out the Least Common Multiple of 95138 and 95146