What is the Greatest Common Factor of 37374 and 37378?

Greatest common factor (GCF) of 37374 and 37378 is 2.

GCF(37374,37378) = 2

We will now calculate the prime factors of 37374 and 37378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37374 and 37378.

How to find the GCF of 37374 and 37378?

We will first find the prime factorization of 37374 and 37378. After we will calculate the factors of 37374 and 37378 and find the biggest common factor number .

Step-1: Prime Factorization of 37374

Prime factors of 37374 are 2, 3, 6229. Prime factorization of 37374 in exponential form is:

37374 = 2¹ × 3¹ × 6229¹

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 37374

List of positive integer factors of 37374 that divides 37374 without a remainder.

1, 2, 3, 6, 6229, 12458, 18687

Step-4: Factors of 37378

List of positive integer factors of 37378 that divides 37374 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37374 and 37378. The biggest common factor number is the GCF number.
So the greatest common factor 37374 and 37378 is 2.

Also check out the Least Common Multiple of 37374 and 37378