What is the Greatest Common Factor of 7408 and 7426?

Greatest common factor (GCF) of 7408 and 7426 is 2.

GCF(7408,7426) = 2

We will now calculate the prime factors of 7408 and 7426, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7408 and 7426.

How to find the GCF of 7408 and 7426?

We will first find the prime factorization of 7408 and 7426. After we will calculate the factors of 7408 and 7426 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 7426

Prime factors of 7426 are 2, 47, 79. Prime factorization of 7426 in exponential form is:

7426 = 2¹ × 47¹ × 79¹

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 7426

List of positive integer factors of 7426 that divides 7408 without a remainder.

1, 2, 47, 79, 94, 158, 3713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7408 and 7426. The biggest common factor number is the GCF number.
So the greatest common factor 7408 and 7426 is 2.

Also check out the Least Common Multiple of 7408 and 7426