What is the Greatest Common Factor of 37476 and 37482?

Greatest common factor (GCF) of 37476 and 37482 is 6.

GCF(37476,37482) = 6

We will now calculate the prime factors of 37476 and 37482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37476 and 37482.

How to find the GCF of 37476 and 37482?

We will first find the prime factorization of 37476 and 37482. After we will calculate the factors of 37476 and 37482 and find the biggest common factor number .

Step-1: Prime Factorization of 37476

Prime factors of 37476 are 2, 3, 347. Prime factorization of 37476 in exponential form is:

37476 = 2² × 3³ × 347¹

Step-2: Prime Factorization of 37482

Prime factors of 37482 are 2, 3, 6247. Prime factorization of 37482 in exponential form is:

37482 = 2¹ × 3¹ × 6247¹

Step-3: Factors of 37476

List of positive integer factors of 37476 that divides 37476 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 347, 694, 1041, 1388, 2082, 3123, 4164, 6246, 9369, 12492, 18738

Step-4: Factors of 37482

List of positive integer factors of 37482 that divides 37476 without a remainder.

1, 2, 3, 6, 6247, 12494, 18741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37476 and 37482. The biggest common factor number is the GCF number.
So the greatest common factor 37476 and 37482 is 6.

Also check out the Least Common Multiple of 37476 and 37482