What is the Greatest Common Factor of 8972 and 8980?

Greatest common factor (GCF) of 8972 and 8980 is 4.

GCF(8972,8980) = 4

We will now calculate the prime factors of 8972 and 8980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8972 and 8980.

How to find the GCF of 8972 and 8980?

We will first find the prime factorization of 8972 and 8980. After we will calculate the factors of 8972 and 8980 and find the biggest common factor number .

Step-1: Prime Factorization of 8972

Prime factors of 8972 are 2, 2243. Prime factorization of 8972 in exponential form is:

8972 = 2² × 2243¹

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 8972

List of positive integer factors of 8972 that divides 8972 without a remainder.

1, 2, 4, 2243, 4486

Step-4: Factors of 8980

List of positive integer factors of 8980 that divides 8972 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 8972 and 8980. The biggest common factor number is the GCF number.
So the greatest common factor 8972 and 8980 is 4.

Also check out the Least Common Multiple of 8972 and 8980