What is the Greatest Common Factor of 95146 and 95164?

Greatest common factor (GCF) of 95146 and 95164 is 2.

GCF(95146,95164) = 2

We will now calculate the prime factors of 95146 and 95164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95146 and 95164.

How to find the GCF of 95146 and 95164?

We will first find the prime factorization of 95146 and 95164. After we will calculate the factors of 95146 and 95164 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 95164

Prime factors of 95164 are 2, 37, 643. Prime factorization of 95164 in exponential form is:

95164 = 2² × 37¹ × 643¹

Step-3: Factors of 95146

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

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

Step-4: Factors of 95164

List of positive integer factors of 95164 that divides 95146 without a remainder.

1, 2, 4, 37, 74, 148, 643, 1286, 2572, 23791, 47582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95146 and 95164. The biggest common factor number is the GCF number.
So the greatest common factor 95146 and 95164 is 2.

Also check out the Least Common Multiple of 95146 and 95164