What is the Greatest Common Factor of 96275 and 96280?

Greatest common factor (GCF) of 96275 and 96280 is 5.

GCF(96275,96280) = 5

We will now calculate the prime factors of 96275 and 96280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96275 and 96280.

How to find the GCF of 96275 and 96280?

We will first find the prime factorization of 96275 and 96280. After we will calculate the factors of 96275 and 96280 and find the biggest common factor number .

Step-1: Prime Factorization of 96275

Prime factors of 96275 are 5, 3851. Prime factorization of 96275 in exponential form is:

96275 = 5² × 3851¹

Step-2: Prime Factorization of 96280

Prime factors of 96280 are 2, 5, 29, 83. Prime factorization of 96280 in exponential form is:

96280 = 2³ × 5¹ × 29¹ × 83¹

Step-3: Factors of 96275

List of positive integer factors of 96275 that divides 96275 without a remainder.

1, 5, 25, 3851, 19255

Step-4: Factors of 96280

List of positive integer factors of 96280 that divides 96275 without a remainder.

1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 83, 116, 145, 166, 232, 290, 332, 415, 580, 664, 830, 1160, 1660, 2407, 3320, 4814, 9628, 12035, 19256, 24070, 48140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96275 and 96280. The biggest common factor number is the GCF number.
So the greatest common factor 96275 and 96280 is 5.

Also check out the Least Common Multiple of 96275 and 96280