What is the Greatest Common Factor of 9472 and 9480?

Greatest common factor (GCF) of 9472 and 9480 is 8.

GCF(9472,9480) = 8

We will now calculate the prime factors of 9472 and 9480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9472 and 9480.

How to find the GCF of 9472 and 9480?

We will first find the prime factorization of 9472 and 9480. After we will calculate the factors of 9472 and 9480 and find the biggest common factor number .

Step-1: Prime Factorization of 9472

Prime factors of 9472 are 2, 37. Prime factorization of 9472 in exponential form is:

9472 = 2⁸ × 37¹

Step-2: Prime Factorization of 9480

Prime factors of 9480 are 2, 3, 5, 79. Prime factorization of 9480 in exponential form is:

9480 = 2³ × 3¹ × 5¹ × 79¹

Step-3: Factors of 9472

List of positive integer factors of 9472 that divides 9472 without a remainder.

1, 2, 4, 8, 16, 32, 37, 64, 74, 128, 148, 256, 296, 592, 1184, 2368, 4736

Step-4: Factors of 9480

List of positive integer factors of 9480 that divides 9472 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 79, 120, 158, 237, 316, 395, 474, 632, 790, 948, 1185, 1580, 1896, 2370, 3160, 4740

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9472 and 9480. The biggest common factor number is the GCF number.
So the greatest common factor 9472 and 9480 is 8.

Also check out the Least Common Multiple of 9472 and 9480