What is the Greatest Common Factor of 9474 and 9480?

Greatest common factor (GCF) of 9474 and 9480 is 6.

GCF(9474,9480) = 6

We will now calculate the prime factors of 9474 and 9480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9474 and 9480.

How to find the GCF of 9474 and 9480?

We will first find the prime factorization of 9474 and 9480. After we will calculate the factors of 9474 and 9480 and find the biggest common factor number .

Step-1: Prime Factorization of 9474

Prime factors of 9474 are 2, 3, 1579. Prime factorization of 9474 in exponential form is:

9474 = 2¹ × 3¹ × 1579¹

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 9474

List of positive integer factors of 9474 that divides 9474 without a remainder.

1, 2, 3, 6, 1579, 3158, 4737

Step-4: Factors of 9480

List of positive integer factors of 9480 that divides 9474 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 9474 and 9480. The biggest common factor number is the GCF number.
So the greatest common factor 9474 and 9480 is 6.

Also check out the Least Common Multiple of 9474 and 9480