What is the Greatest Common Factor of 7408 and 7412?

Greatest common factor (GCF) of 7408 and 7412 is 4.

GCF(7408,7412) = 4

We will now calculate the prime factors of 7408 and 7412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7408 and 7412.

How to find the GCF of 7408 and 7412?

We will first find the prime factorization of 7408 and 7412. After we will calculate the factors of 7408 and 7412 and find the biggest common factor number .

Step-1: Prime Factorization of 7408

Prime factors of 7408 are 2, 463. Prime factorization of 7408 in exponential form is:

7408 = 2⁴ × 463¹

Step-2: Prime Factorization of 7412

Prime factors of 7412 are 2, 17, 109. Prime factorization of 7412 in exponential form is:

7412 = 2² × 17¹ × 109¹

Step-3: Factors of 7408

List of positive integer factors of 7408 that divides 7408 without a remainder.

1, 2, 4, 8, 16, 463, 926, 1852, 3704

Step-4: Factors of 7412

List of positive integer factors of 7412 that divides 7408 without a remainder.

1, 2, 4, 17, 34, 68, 109, 218, 436, 1853, 3706

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7408 and 7412. The biggest common factor number is the GCF number.
So the greatest common factor 7408 and 7412 is 4.

Also check out the Least Common Multiple of 7408 and 7412