What is the Greatest Common Factor of 7466 and 7480?

Greatest common factor (GCF) of 7466 and 7480 is 2.

GCF(7466,7480) = 2

We will now calculate the prime factors of 7466 and 7480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7466 and 7480.

How to find the GCF of 7466 and 7480?

We will first find the prime factorization of 7466 and 7480. After we will calculate the factors of 7466 and 7480 and find the biggest common factor number .

Step-1: Prime Factorization of 7466

Prime factors of 7466 are 2, 3733. Prime factorization of 7466 in exponential form is:

7466 = 2¹ × 3733¹

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 7466

List of positive integer factors of 7466 that divides 7466 without a remainder.

1, 2, 3733

Step-4: Factors of 7480

List of positive integer factors of 7480 that divides 7466 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 7466 and 7480. The biggest common factor number is the GCF number.
So the greatest common factor 7466 and 7480 is 2.

Also check out the Least Common Multiple of 7466 and 7480