What is the Greatest Common Factor of 9480 and 9490?

Greatest common factor (GCF) of 9480 and 9490 is 10.

GCF(9480,9490) = 10

We will now calculate the prime factors of 9480 and 9490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9480 and 9490.

How to find the GCF of 9480 and 9490?

We will first find the prime factorization of 9480 and 9490. After we will calculate the factors of 9480 and 9490 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 9490

Prime factors of 9490 are 2, 5, 13, 73. Prime factorization of 9490 in exponential form is:

9490 = 2¹ × 5¹ × 13¹ × 73¹

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 9490

List of positive integer factors of 9490 that divides 9480 without a remainder.

1, 2, 5, 10, 13, 26, 65, 73, 130, 146, 365, 730, 949, 1898, 4745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9480 and 9490. The biggest common factor number is the GCF number.
So the greatest common factor 9480 and 9490 is 10.

Also check out the Least Common Multiple of 9480 and 9490