What is the Greatest Common Factor of 37368 and 37378?

Greatest common factor (GCF) of 37368 and 37378 is 2.

GCF(37368,37378) = 2

We will now calculate the prime factors of 37368 and 37378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37368 and 37378.

How to find the GCF of 37368 and 37378?

We will first find the prime factorization of 37368 and 37378. After we will calculate the factors of 37368 and 37378 and find the biggest common factor number .

Step-1: Prime Factorization of 37368

Prime factors of 37368 are 2, 3, 173. Prime factorization of 37368 in exponential form is:

37368 = 2³ × 3³ × 173¹

Step-2: Prime Factorization of 37378

Prime factors of 37378 are 2, 11, 1699. Prime factorization of 37378 in exponential form is:

37378 = 2¹ × 11¹ × 1699¹

Step-3: Factors of 37368

List of positive integer factors of 37368 that divides 37368 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 173, 216, 346, 519, 692, 1038, 1384, 1557, 2076, 3114, 4152, 4671, 6228, 9342, 12456, 18684

Step-4: Factors of 37378

List of positive integer factors of 37378 that divides 37368 without a remainder.

1, 2, 11, 22, 1699, 3398, 18689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37368 and 37378. The biggest common factor number is the GCF number.
So the greatest common factor 37368 and 37378 is 2.

Also check out the Least Common Multiple of 37368 and 37378