What is the Greatest Common Factor of 7422 and 7442?

Greatest common factor (GCF) of 7422 and 7442 is 2.

GCF(7422,7442) = 2

We will now calculate the prime factors of 7422 and 7442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7422 and 7442.

How to find the GCF of 7422 and 7442?

We will first find the prime factorization of 7422 and 7442. After we will calculate the factors of 7422 and 7442 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7442

Prime factors of 7442 are 2, 61. Prime factorization of 7442 in exponential form is:

7442 = 2¹ × 61²

Step-3: Factors of 7422

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

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

Step-4: Factors of 7442

List of positive integer factors of 7442 that divides 7422 without a remainder.

1, 2, 61, 122, 3721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7422 and 7442. The biggest common factor number is the GCF number.
So the greatest common factor 7422 and 7442 is 2.

Also check out the Least Common Multiple of 7422 and 7442