What is the Greatest Common Factor of 95652 and 95672?

Greatest common factor (GCF) of 95652 and 95672 is 4.

GCF(95652,95672) = 4

We will now calculate the prime factors of 95652 and 95672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95652 and 95672.

How to find the GCF of 95652 and 95672?

We will first find the prime factorization of 95652 and 95672. After we will calculate the factors of 95652 and 95672 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 95672

Prime factors of 95672 are 2, 11959. Prime factorization of 95672 in exponential form is:

95672 = 2³ × 11959¹

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 95672

List of positive integer factors of 95672 that divides 95652 without a remainder.

1, 2, 4, 8, 11959, 23918, 47836

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95652 and 95672. The biggest common factor number is the GCF number.
So the greatest common factor 95652 and 95672 is 4.

Also check out the Least Common Multiple of 95652 and 95672