What is the Greatest Common Factor of 37112 and 37117?

Greatest common factor (GCF) of 37112 and 37117 is 1.

GCF(37112,37117) = 1

We will now calculate the prime factors of 37112 and 37117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37112 and 37117.

How to find the GCF of 37112 and 37117?

We will first find the prime factorization of 37112 and 37117. After we will calculate the factors of 37112 and 37117 and find the biggest common factor number .

Step-1: Prime Factorization of 37112

Prime factors of 37112 are 2, 4639. Prime factorization of 37112 in exponential form is:

37112 = 2³ × 4639¹

Step-2: Prime Factorization of 37117

Prime factors of 37117 are 37117. Prime factorization of 37117 in exponential form is:

37117 = 37117¹

Step-3: Factors of 37112

List of positive integer factors of 37112 that divides 37112 without a remainder.

1, 2, 4, 8, 4639, 9278, 18556

Step-4: Factors of 37117

List of positive integer factors of 37117 that divides 37112 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37112 and 37117. The biggest common factor number is the GCF number.
So the greatest common factor 37112 and 37117 is 1.

Also check out the Least Common Multiple of 37112 and 37117