What is the Greatest Common Factor of 7465 and 7480?

Greatest common factor (GCF) of 7465 and 7480 is 5.

GCF(7465,7480) = 5

We will now calculate the prime factors of 7465 and 7480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7465 and 7480.

How to find the GCF of 7465 and 7480?

We will first find the prime factorization of 7465 and 7480. After we will calculate the factors of 7465 and 7480 and find the biggest common factor number .

Step-1: Prime Factorization of 7465

Prime factors of 7465 are 5, 1493. Prime factorization of 7465 in exponential form is:

7465 = 5¹ × 1493¹

Step-2: 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-3: Factors of 7465

List of positive integer factors of 7465 that divides 7465 without a remainder.

1, 5, 1493

Step-4: Factors of 7480

List of positive integer factors of 7480 that divides 7465 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7465 and 7480. The biggest common factor number is the GCF number.
So the greatest common factor 7465 and 7480 is 5.

Also check out the Least Common Multiple of 7465 and 7480