What is the Greatest Common Factor of 37107 and 37112?

Greatest common factor (GCF) of 37107 and 37112 is 1.

GCF(37107,37112) = 1

We will now calculate the prime factors of 37107 and 37112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37107 and 37112.

How to find the GCF of 37107 and 37112?

We will first find the prime factorization of 37107 and 37112. After we will calculate the factors of 37107 and 37112 and find the biggest common factor number .

Step-1: Prime Factorization of 37107

Prime factors of 37107 are 3, 7, 19, 31. Prime factorization of 37107 in exponential form is:

37107 = 3² × 7¹ × 19¹ × 31¹

Step-2: Prime Factorization of 37112

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

37112 = 2³ × 4639¹

Step-3: Factors of 37107

List of positive integer factors of 37107 that divides 37107 without a remainder.

1, 3, 7, 9, 19, 21, 31, 57, 63, 93, 133, 171, 217, 279, 399, 589, 651, 1197, 1767, 1953, 4123, 5301, 12369

Step-4: Factors of 37112

List of positive integer factors of 37112 that divides 37107 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37107 and 37112. The biggest common factor number is the GCF number.
So the greatest common factor 37107 and 37112 is 1.

Also check out the Least Common Multiple of 37107 and 37112