What is the Greatest Common Factor of 95275 and 95280?

Greatest common factor (GCF) of 95275 and 95280 is 5.

GCF(95275,95280) = 5

We will now calculate the prime factors of 95275 and 95280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95275 and 95280.

How to find the GCF of 95275 and 95280?

We will first find the prime factorization of 95275 and 95280. After we will calculate the factors of 95275 and 95280 and find the biggest common factor number .

Step-1: Prime Factorization of 95275

Prime factors of 95275 are 5, 37, 103. Prime factorization of 95275 in exponential form is:

95275 = 5² × 37¹ × 103¹

Step-2: 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-3: Factors of 95275

List of positive integer factors of 95275 that divides 95275 without a remainder.

1, 5, 25, 37, 103, 185, 515, 925, 2575, 3811, 19055

Step-4: Factors of 95280

List of positive integer factors of 95280 that divides 95275 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95275 and 95280. The biggest common factor number is the GCF number.
So the greatest common factor 95275 and 95280 is 5.

Also check out the Least Common Multiple of 95275 and 95280