What is the Greatest Common Factor of 37072 and 37086?

Greatest common factor (GCF) of 37072 and 37086 is 14.

GCF(37072,37086) = 14

We will now calculate the prime factors of 37072 and 37086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37072 and 37086.

How to find the GCF of 37072 and 37086?

We will first find the prime factorization of 37072 and 37086. After we will calculate the factors of 37072 and 37086 and find the biggest common factor number .

Step-1: Prime Factorization of 37072

Prime factors of 37072 are 2, 7, 331. Prime factorization of 37072 in exponential form is:

37072 = 2⁴ × 7¹ × 331¹

Step-2: 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-3: Factors of 37072

List of positive integer factors of 37072 that divides 37072 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 331, 662, 1324, 2317, 2648, 4634, 5296, 9268, 18536

Step-4: Factors of 37086

List of positive integer factors of 37086 that divides 37072 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37072 and 37086. The biggest common factor number is the GCF number.
So the greatest common factor 37072 and 37086 is 14.

Also check out the Least Common Multiple of 37072 and 37086