What is the Greatest Common Factor of 37086 and 37093?

Greatest common factor (GCF) of 37086 and 37093 is 7.

GCF(37086,37093) = 7

We will now calculate the prime factors of 37086 and 37093, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37086 and 37093.

How to find the GCF of 37086 and 37093?

We will first find the prime factorization of 37086 and 37093. After we will calculate the factors of 37086 and 37093 and find the biggest common factor number .

Step-1: Prime Factorization of 37086

Prime factors of 37086 are 2, 3, 7, 883. Prime factorization of 37086 in exponential form is:

37086 = 2¹ × 3¹ × 7¹ × 883¹

Step-2: Prime Factorization of 37093

Prime factors of 37093 are 7, 757. Prime factorization of 37093 in exponential form is:

37093 = 7² × 757¹

Step-3: Factors of 37086

List of positive integer factors of 37086 that divides 37086 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 883, 1766, 2649, 5298, 6181, 12362, 18543

Step-4: Factors of 37093

List of positive integer factors of 37093 that divides 37086 without a remainder.

1, 7, 49, 757, 5299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37086 and 37093. The biggest common factor number is the GCF number.
So the greatest common factor 37086 and 37093 is 7.

Also check out the Least Common Multiple of 37086 and 37093