What is the Greatest Common Factor of 95652 and 95664?

Greatest common factor (GCF) of 95652 and 95664 is 12.

GCF(95652,95664) = 12

We will now calculate the prime factors of 95652 and 95664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95652 and 95664.

How to find the GCF of 95652 and 95664?

We will first find the prime factorization of 95652 and 95664. After we will calculate the factors of 95652 and 95664 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 95664

Prime factors of 95664 are 2, 3, 1993. Prime factorization of 95664 in exponential form is:

95664 = 2⁴ × 3¹ × 1993¹

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 95664

List of positive integer factors of 95664 that divides 95652 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1993, 3986, 5979, 7972, 11958, 15944, 23916, 31888, 47832

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95652 and 95664. The biggest common factor number is the GCF number.
So the greatest common factor 95652 and 95664 is 12.

Also check out the Least Common Multiple of 95652 and 95664