What is the Greatest Common Factor of 95164 and 95180?

Greatest common factor (GCF) of 95164 and 95180 is 4.

GCF(95164,95180) = 4

We will now calculate the prime factors of 95164 and 95180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95164 and 95180.

How to find the GCF of 95164 and 95180?

We will first find the prime factorization of 95164 and 95180. After we will calculate the factors of 95164 and 95180 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 95180

Prime factors of 95180 are 2, 5, 4759. Prime factorization of 95180 in exponential form is:

95180 = 2² × 5¹ × 4759¹

Step-3: Factors of 95164

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

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

Step-4: Factors of 95180

List of positive integer factors of 95180 that divides 95164 without a remainder.

1, 2, 4, 5, 10, 20, 4759, 9518, 19036, 23795, 47590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95164 and 95180. The biggest common factor number is the GCF number.
So the greatest common factor 95164 and 95180 is 4.

Also check out the Least Common Multiple of 95164 and 95180