What is the Greatest Common Factor of 8960 and 8972?

Greatest common factor (GCF) of 8960 and 8972 is 4.

GCF(8960,8972) = 4

We will now calculate the prime factors of 8960 and 8972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8960 and 8972.

How to find the GCF of 8960 and 8972?

We will first find the prime factorization of 8960 and 8972. After we will calculate the factors of 8960 and 8972 and find the biggest common factor number .

Step-1: Prime Factorization of 8960

Prime factors of 8960 are 2, 5, 7. Prime factorization of 8960 in exponential form is:

8960 = 2⁸ × 5¹ × 7¹

Step-2: Prime Factorization of 8972

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

8972 = 2² × 2243¹

Step-3: Factors of 8960

List of positive integer factors of 8960 that divides 8960 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 256, 280, 320, 448, 560, 640, 896, 1120, 1280, 1792, 2240, 4480

Step-4: Factors of 8972

List of positive integer factors of 8972 that divides 8960 without a remainder.

1, 2, 4, 2243, 4486

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8960 and 8972. The biggest common factor number is the GCF number.
So the greatest common factor 8960 and 8972 is 4.

Also check out the Least Common Multiple of 8960 and 8972