What is the Greatest Common Factor of 95952 and 95970?

Greatest common factor (GCF) of 95952 and 95970 is 6.

GCF(95952,95970) = 6

We will now calculate the prime factors of 95952 and 95970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95952 and 95970.

How to find the GCF of 95952 and 95970?

We will first find the prime factorization of 95952 and 95970. After we will calculate the factors of 95952 and 95970 and find the biggest common factor number .

Step-1: Prime Factorization of 95952

Prime factors of 95952 are 2, 3, 1999. Prime factorization of 95952 in exponential form is:

95952 = 2⁴ × 3¹ × 1999¹

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 95952

List of positive integer factors of 95952 that divides 95952 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1999, 3998, 5997, 7996, 11994, 15992, 23988, 31984, 47976

Step-4: Factors of 95970

List of positive integer factors of 95970 that divides 95952 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 95952 and 95970. The biggest common factor number is the GCF number.
So the greatest common factor 95952 and 95970 is 6.

Also check out the Least Common Multiple of 95952 and 95970