What is the Greatest Common Factor of 37006 and 37022?

Greatest common factor (GCF) of 37006 and 37022 is 2.

GCF(37006,37022) = 2

We will now calculate the prime factors of 37006 and 37022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37006 and 37022.

How to find the GCF of 37006 and 37022?

We will first find the prime factorization of 37006 and 37022. After we will calculate the factors of 37006 and 37022 and find the biggest common factor number .

Step-1: Prime Factorization of 37006

Prime factors of 37006 are 2, 18503. Prime factorization of 37006 in exponential form is:

37006 = 2¹ × 18503¹

Step-2: Prime Factorization of 37022

Prime factors of 37022 are 2, 107, 173. Prime factorization of 37022 in exponential form is:

37022 = 2¹ × 107¹ × 173¹

Step-3: Factors of 37006

List of positive integer factors of 37006 that divides 37006 without a remainder.

1, 2, 18503

Step-4: Factors of 37022

List of positive integer factors of 37022 that divides 37006 without a remainder.

1, 2, 107, 173, 214, 346, 18511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37006 and 37022. The biggest common factor number is the GCF number.
So the greatest common factor 37006 and 37022 is 2.

Also check out the Least Common Multiple of 37006 and 37022