What is the Greatest Common Factor of 95955 and 95970?

Greatest common factor (GCF) of 95955 and 95970 is 15.

GCF(95955,95970) = 15

We will now calculate the prime factors of 95955 and 95970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95955 and 95970.

How to find the GCF of 95955 and 95970?

We will first find the prime factorization of 95955 and 95970. After we will calculate the factors of 95955 and 95970 and find the biggest common factor number .

Step-1: Prime Factorization of 95955

Prime factors of 95955 are 3, 5, 6397. Prime factorization of 95955 in exponential form is:

95955 = 3¹ × 5¹ × 6397¹

Step-2: Prime Factorization of 95970

Prime factors of 95970 are 2, 3, 5, 7, 457. Prime factorization of 95970 in exponential form is:

95970 = 2¹ × 3¹ × 5¹ × 7¹ × 457¹

Step-3: Factors of 95955

List of positive integer factors of 95955 that divides 95955 without a remainder.

1, 3, 5, 15, 6397, 19191, 31985

Step-4: Factors of 95970

List of positive integer factors of 95970 that divides 95955 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 457, 914, 1371, 2285, 2742, 3199, 4570, 6398, 6855, 9597, 13710, 15995, 19194, 31990, 47985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95955 and 95970. The biggest common factor number is the GCF number.
So the greatest common factor 95955 and 95970 is 15.

Also check out the Least Common Multiple of 95955 and 95970