What is the Greatest Common Factor of 9480 and 9492?

Greatest common factor (GCF) of 9480 and 9492 is 12.

GCF(9480,9492) = 12

We will now calculate the prime factors of 9480 and 9492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9480 and 9492.

How to find the GCF of 9480 and 9492?

We will first find the prime factorization of 9480 and 9492. After we will calculate the factors of 9480 and 9492 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 9492

Prime factors of 9492 are 2, 3, 7, 113. Prime factorization of 9492 in exponential form is:

9492 = 2² × 3¹ × 7¹ × 113¹

Step-3: Factors of 9480

List of positive integer factors of 9480 that divides 9480 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

Step-4: Factors of 9492

List of positive integer factors of 9492 that divides 9480 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 113, 226, 339, 452, 678, 791, 1356, 1582, 2373, 3164, 4746

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9480 and 9492. The biggest common factor number is the GCF number.
So the greatest common factor 9480 and 9492 is 12.

Also check out the Least Common Multiple of 9480 and 9492