What is the Greatest Common Factor of 6275 and 6280?

Greatest common factor (GCF) of 6275 and 6280 is 5.

GCF(6275,6280) = 5

We will now calculate the prime factors of 6275 and 6280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6275 and 6280.

How to find the GCF of 6275 and 6280?

We will first find the prime factorization of 6275 and 6280. After we will calculate the factors of 6275 and 6280 and find the biggest common factor number .

Step-1: Prime Factorization of 6275

Prime factors of 6275 are 5, 251. Prime factorization of 6275 in exponential form is:

6275 = 5² × 251¹

Step-2: Prime Factorization of 6280

Prime factors of 6280 are 2, 5, 157. Prime factorization of 6280 in exponential form is:

6280 = 2³ × 5¹ × 157¹

Step-3: Factors of 6275

List of positive integer factors of 6275 that divides 6275 without a remainder.

1, 5, 25, 251, 1255

Step-4: Factors of 6280

List of positive integer factors of 6280 that divides 6275 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 157, 314, 628, 785, 1256, 1570, 3140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6275 and 6280. The biggest common factor number is the GCF number.
So the greatest common factor 6275 and 6280 is 5.

Also check out the Least Common Multiple of 6275 and 6280