What is the Greatest Common Factor of 95164 and 95172?

Greatest common factor (GCF) of 95164 and 95172 is 4.

GCF(95164,95172) = 4

We will now calculate the prime factors of 95164 and 95172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95164 and 95172.

How to find the GCF of 95164 and 95172?

We will first find the prime factorization of 95164 and 95172. After we will calculate the factors of 95164 and 95172 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 95172

Prime factors of 95172 are 2, 3, 7, 11, 103. Prime factorization of 95172 in exponential form is:

95172 = 2² × 3¹ × 7¹ × 11¹ × 103¹

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 95172

List of positive integer factors of 95172 that divides 95164 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 103, 132, 154, 206, 231, 308, 309, 412, 462, 618, 721, 924, 1133, 1236, 1442, 2163, 2266, 2884, 3399, 4326, 4532, 6798, 7931, 8652, 13596, 15862, 23793, 31724, 47586

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95164 and 95172. The biggest common factor number is the GCF number.
So the greatest common factor 95164 and 95172 is 4.

Also check out the Least Common Multiple of 95164 and 95172