What is the Greatest Common Factor of 95280 and 95300?

Greatest common factor (GCF) of 95280 and 95300 is 20.

GCF(95280,95300) = 20

We will now calculate the prime factors of 95280 and 95300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95280 and 95300.

How to find the GCF of 95280 and 95300?

We will first find the prime factorization of 95280 and 95300. After we will calculate the factors of 95280 and 95300 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 95300

Prime factors of 95300 are 2, 5, 953. Prime factorization of 95300 in exponential form is:

95300 = 2² × 5² × 953¹

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 95300

List of positive integer factors of 95300 that divides 95280 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 953, 1906, 3812, 4765, 9530, 19060, 23825, 47650

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95280 and 95300. The biggest common factor number is the GCF number.
So the greatest common factor 95280 and 95300 is 20.

Also check out the Least Common Multiple of 95280 and 95300