What is the Greatest Common Factor of 95652 and 95660?

Greatest common factor (GCF) of 95652 and 95660 is 4.

GCF(95652,95660) = 4

We will now calculate the prime factors of 95652 and 95660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95652 and 95660.

How to find the GCF of 95652 and 95660?

We will first find the prime factorization of 95652 and 95660. After we will calculate the factors of 95652 and 95660 and find the biggest common factor number .

Step-1: Prime Factorization of 95652

Prime factors of 95652 are 2, 3, 2657. Prime factorization of 95652 in exponential form is:

95652 = 2² × 3² × 2657¹

Step-2: Prime Factorization of 95660

Prime factors of 95660 are 2, 5, 4783. Prime factorization of 95660 in exponential form is:

95660 = 2² × 5¹ × 4783¹

Step-3: Factors of 95652

List of positive integer factors of 95652 that divides 95652 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2657, 5314, 7971, 10628, 15942, 23913, 31884, 47826

Step-4: Factors of 95660

List of positive integer factors of 95660 that divides 95652 without a remainder.

1, 2, 4, 5, 10, 20, 4783, 9566, 19132, 23915, 47830

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95652 and 95660. The biggest common factor number is the GCF number.
So the greatest common factor 95652 and 95660 is 4.

Also check out the Least Common Multiple of 95652 and 95660