What is the Greatest Common Factor of 8975 and 8980?

Greatest common factor (GCF) of 8975 and 8980 is 5.

GCF(8975,8980) = 5

We will now calculate the prime factors of 8975 and 8980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8975 and 8980.

How to find the GCF of 8975 and 8980?

We will first find the prime factorization of 8975 and 8980. After we will calculate the factors of 8975 and 8980 and find the biggest common factor number .

Step-1: Prime Factorization of 8975

Prime factors of 8975 are 5, 359. Prime factorization of 8975 in exponential form is:

8975 = 5² × 359¹

Step-2: Prime Factorization of 8980

Prime factors of 8980 are 2, 5, 449. Prime factorization of 8980 in exponential form is:

8980 = 2² × 5¹ × 449¹

Step-3: Factors of 8975

List of positive integer factors of 8975 that divides 8975 without a remainder.

1, 5, 25, 359, 1795

Step-4: Factors of 8980

List of positive integer factors of 8980 that divides 8975 without a remainder.

1, 2, 4, 5, 10, 20, 449, 898, 1796, 2245, 4490

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8975 and 8980. The biggest common factor number is the GCF number.
So the greatest common factor 8975 and 8980 is 5.

Also check out the Least Common Multiple of 8975 and 8980