What is the Greatest Common Factor of 95280 and 95295?

Greatest common factor (GCF) of 95280 and 95295 is 15.

GCF(95280,95295) = 15

We will now calculate the prime factors of 95280 and 95295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95280 and 95295.

How to find the GCF of 95280 and 95295?

We will first find the prime factorization of 95280 and 95295. After we will calculate the factors of 95280 and 95295 and find the biggest common factor number .

Step-1: Prime Factorization of 95280

Prime factors of 95280 are 2, 3, 5, 397. Prime factorization of 95280 in exponential form is:

95280 = 2⁴ × 3¹ × 5¹ × 397¹

Step-2: Prime Factorization of 95295

Prime factors of 95295 are 3, 5, 6353. Prime factorization of 95295 in exponential form is:

95295 = 3¹ × 5¹ × 6353¹

Step-3: Factors of 95280

List of positive integer factors of 95280 that divides 95280 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 397, 794, 1191, 1588, 1985, 2382, 3176, 3970, 4764, 5955, 6352, 7940, 9528, 11910, 15880, 19056, 23820, 31760, 47640

Step-4: Factors of 95295

List of positive integer factors of 95295 that divides 95280 without a remainder.

1, 3, 5, 15, 6353, 19059, 31765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95280 and 95295. The biggest common factor number is the GCF number.
So the greatest common factor 95280 and 95295 is 15.

Also check out the Least Common Multiple of 95280 and 95295