What is the Greatest Common Factor of 95964 and 95975?

Greatest common factor (GCF) of 95964 and 95975 is 11.

GCF(95964,95975) = 11

We will now calculate the prime factors of 95964 and 95975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95964 and 95975.

How to find the GCF of 95964 and 95975?

We will first find the prime factorization of 95964 and 95975. After we will calculate the factors of 95964 and 95975 and find the biggest common factor number .

Step-1: Prime Factorization of 95964

Prime factors of 95964 are 2, 3, 11, 727. Prime factorization of 95964 in exponential form is:

95964 = 2² × 3¹ × 11¹ × 727¹

Step-2: Prime Factorization of 95975

Prime factors of 95975 are 5, 11, 349. Prime factorization of 95975 in exponential form is:

95975 = 5² × 11¹ × 349¹

Step-3: Factors of 95964

List of positive integer factors of 95964 that divides 95964 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 727, 1454, 2181, 2908, 4362, 7997, 8724, 15994, 23991, 31988, 47982

Step-4: Factors of 95975

List of positive integer factors of 95975 that divides 95964 without a remainder.

1, 5, 11, 25, 55, 275, 349, 1745, 3839, 8725, 19195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95964 and 95975. The biggest common factor number is the GCF number.
So the greatest common factor 95964 and 95975 is 11.

Also check out the Least Common Multiple of 95964 and 95975