What is the Greatest Common Factor of 7480 and 7494?

Greatest common factor (GCF) of 7480 and 7494 is 2.

GCF(7480,7494) = 2

We will now calculate the prime factors of 7480 and 7494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7480 and 7494.

How to find the GCF of 7480 and 7494?

We will first find the prime factorization of 7480 and 7494. After we will calculate the factors of 7480 and 7494 and find the biggest common factor number .

Step-1: Prime Factorization of 7480

Prime factors of 7480 are 2, 5, 11, 17. Prime factorization of 7480 in exponential form is:

7480 = 2³ × 5¹ × 11¹ × 17¹

Step-2: Prime Factorization of 7494

Prime factors of 7494 are 2, 3, 1249. Prime factorization of 7494 in exponential form is:

7494 = 2¹ × 3¹ × 1249¹

Step-3: Factors of 7480

List of positive integer factors of 7480 that divides 7480 without a remainder.

1, 2, 4, 5, 8, 10, 11, 17, 20, 22, 34, 40, 44, 55, 68, 85, 88, 110, 136, 170, 187, 220, 340, 374, 440, 680, 748, 935, 1496, 1870, 3740

Step-4: Factors of 7494

List of positive integer factors of 7494 that divides 7480 without a remainder.

1, 2, 3, 6, 1249, 2498, 3747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7480 and 7494. The biggest common factor number is the GCF number.
So the greatest common factor 7480 and 7494 is 2.

Also check out the Least Common Multiple of 7480 and 7494