What is the Greatest Common Factor of 95052 and 95070?

Greatest common factor (GCF) of 95052 and 95070 is 6.

GCF(95052,95070) = 6

We will now calculate the prime factors of 95052 and 95070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95052 and 95070.

How to find the GCF of 95052 and 95070?

We will first find the prime factorization of 95052 and 95070. After we will calculate the factors of 95052 and 95070 and find the biggest common factor number .

Step-1: Prime Factorization of 95052

Prime factors of 95052 are 2, 3, 89. Prime factorization of 95052 in exponential form is:

95052 = 2² × 3¹ × 89²

Step-2: Prime Factorization of 95070

Prime factors of 95070 are 2, 3, 5, 3169. Prime factorization of 95070 in exponential form is:

95070 = 2¹ × 3¹ × 5¹ × 3169¹

Step-3: Factors of 95052

List of positive integer factors of 95052 that divides 95052 without a remainder.

1, 2, 3, 4, 6, 12, 89, 178, 267, 356, 534, 1068, 7921, 15842, 23763, 31684, 47526

Step-4: Factors of 95070

List of positive integer factors of 95070 that divides 95052 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3169, 6338, 9507, 15845, 19014, 31690, 47535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95052 and 95070. The biggest common factor number is the GCF number.
So the greatest common factor 95052 and 95070 is 6.

Also check out the Least Common Multiple of 95052 and 95070