What is the Greatest Common Factor of 7480 and 7496?

Greatest common factor (GCF) of 7480 and 7496 is 8.

GCF(7480,7496) = 8

We will now calculate the prime factors of 7480 and 7496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7480 and 7496.

How to find the GCF of 7480 and 7496?

We will first find the prime factorization of 7480 and 7496. After we will calculate the factors of 7480 and 7496 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 7496

Prime factors of 7496 are 2, 937. Prime factorization of 7496 in exponential form is:

7496 = 2³ × 937¹

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 7496

List of positive integer factors of 7496 that divides 7480 without a remainder.

1, 2, 4, 8, 937, 1874, 3748

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7480 and 7496. The biggest common factor number is the GCF number.
So the greatest common factor 7480 and 7496 is 8.

Also check out the Least Common Multiple of 7480 and 7496