What is the Greatest Common Factor of 37104 and 37108?

Greatest common factor (GCF) of 37104 and 37108 is 4.

GCF(37104,37108) = 4

We will now calculate the prime factors of 37104 and 37108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37104 and 37108.

How to find the GCF of 37104 and 37108?

We will first find the prime factorization of 37104 and 37108. After we will calculate the factors of 37104 and 37108 and find the biggest common factor number .

Step-1: Prime Factorization of 37104

Prime factors of 37104 are 2, 3, 773. Prime factorization of 37104 in exponential form is:

37104 = 2⁴ × 3¹ × 773¹

Step-2: Prime Factorization of 37108

Prime factors of 37108 are 2, 9277. Prime factorization of 37108 in exponential form is:

37108 = 2² × 9277¹

Step-3: Factors of 37104

List of positive integer factors of 37104 that divides 37104 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 773, 1546, 2319, 3092, 4638, 6184, 9276, 12368, 18552

Step-4: Factors of 37108

List of positive integer factors of 37108 that divides 37104 without a remainder.

1, 2, 4, 9277, 18554

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37104 and 37108. The biggest common factor number is the GCF number.
So the greatest common factor 37104 and 37108 is 4.

Also check out the Least Common Multiple of 37104 and 37108