What is the Greatest Common Factor of 8960 and 8970?

Greatest common factor (GCF) of 8960 and 8970 is 10.

GCF(8960,8970) = 10

We will now calculate the prime factors of 8960 and 8970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8960 and 8970.

How to find the GCF of 8960 and 8970?

We will first find the prime factorization of 8960 and 8970. After we will calculate the factors of 8960 and 8970 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 8970

Prime factors of 8970 are 2, 3, 5, 13, 23. Prime factorization of 8970 in exponential form is:

8970 = 2¹ × 3¹ × 5¹ × 13¹ × 23¹

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 8970

List of positive integer factors of 8970 that divides 8960 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 23, 26, 30, 39, 46, 65, 69, 78, 115, 130, 138, 195, 230, 299, 345, 390, 598, 690, 897, 1495, 1794, 2990, 4485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8960 and 8970. The biggest common factor number is the GCF number.
So the greatest common factor 8960 and 8970 is 10.

Also check out the Least Common Multiple of 8960 and 8970