What is the Greatest Common Factor of 7406 and 7422?

Greatest common factor (GCF) of 7406 and 7422 is 2.

GCF(7406,7422) = 2

We will now calculate the prime factors of 7406 and 7422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7406 and 7422.

How to find the GCF of 7406 and 7422?

We will first find the prime factorization of 7406 and 7422. After we will calculate the factors of 7406 and 7422 and find the biggest common factor number .

Step-1: Prime Factorization of 7406

Prime factors of 7406 are 2, 7, 23. Prime factorization of 7406 in exponential form is:

7406 = 2¹ × 7¹ × 23²

Step-2: Prime Factorization of 7422

Prime factors of 7422 are 2, 3, 1237. Prime factorization of 7422 in exponential form is:

7422 = 2¹ × 3¹ × 1237¹

Step-3: Factors of 7406

List of positive integer factors of 7406 that divides 7406 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322, 529, 1058, 3703

Step-4: Factors of 7422

List of positive integer factors of 7422 that divides 7406 without a remainder.

1, 2, 3, 6, 1237, 2474, 3711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7406 and 7422. The biggest common factor number is the GCF number.
So the greatest common factor 7406 and 7422 is 2.

Also check out the Least Common Multiple of 7406 and 7422