What is the Greatest Common Factor of 73418 and 73422?

Greatest common factor (GCF) of 73418 and 73422 is 2.

GCF(73418,73422) = 2

We will now calculate the prime factors of 73418 and 73422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73418 and 73422.

How to find the GCF of 73418 and 73422?

We will first find the prime factorization of 73418 and 73422. After we will calculate the factors of 73418 and 73422 and find the biggest common factor number .

Step-1: Prime Factorization of 73418

Prime factors of 73418 are 2, 36709. Prime factorization of 73418 in exponential form is:

73418 = 2¹ × 36709¹

Step-2: Prime Factorization of 73422

Prime factors of 73422 are 2, 3, 4079. Prime factorization of 73422 in exponential form is:

73422 = 2¹ × 3² × 4079¹

Step-3: Factors of 73418

List of positive integer factors of 73418 that divides 73418 without a remainder.

1, 2, 36709

Step-4: Factors of 73422

List of positive integer factors of 73422 that divides 73418 without a remainder.

1, 2, 3, 6, 9, 18, 4079, 8158, 12237, 24474, 36711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73418 and 73422. The biggest common factor number is the GCF number.
So the greatest common factor 73418 and 73422 is 2.

Also check out the Least Common Multiple of 73418 and 73422