What is the Greatest Common Factor of 95757 and 95775?

Greatest common factor (GCF) of 95757 and 95775 is 3.

GCF(95757,95775) = 3

We will now calculate the prime factors of 95757 and 95775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95757 and 95775.

How to find the GCF of 95757 and 95775?

We will first find the prime factorization of 95757 and 95775. After we will calculate the factors of 95757 and 95775 and find the biggest common factor number .

Step-1: Prime Factorization of 95757

Prime factors of 95757 are 3, 59, 541. Prime factorization of 95757 in exponential form is:

95757 = 3¹ × 59¹ × 541¹

Step-2: Prime Factorization of 95775

Prime factors of 95775 are 3, 5, 1277. Prime factorization of 95775 in exponential form is:

95775 = 3¹ × 5² × 1277¹

Step-3: Factors of 95757

List of positive integer factors of 95757 that divides 95757 without a remainder.

1, 3, 59, 177, 541, 1623, 31919

Step-4: Factors of 95775

List of positive integer factors of 95775 that divides 95757 without a remainder.

1, 3, 5, 15, 25, 75, 1277, 3831, 6385, 19155, 31925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95757 and 95775. The biggest common factor number is the GCF number.
So the greatest common factor 95757 and 95775 is 3.

Also check out the Least Common Multiple of 95757 and 95775