What is the Greatest Common Factor of 37458 and 37476?

Greatest common factor (GCF) of 37458 and 37476 is 18.

GCF(37458,37476) = 18

We will now calculate the prime factors of 37458 and 37476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37458 and 37476.

How to find the GCF of 37458 and 37476?

We will first find the prime factorization of 37458 and 37476. After we will calculate the factors of 37458 and 37476 and find the biggest common factor number .

Step-1: Prime Factorization of 37458

Prime factors of 37458 are 2, 3, 2081. Prime factorization of 37458 in exponential form is:

37458 = 2¹ × 3² × 2081¹

Step-2: 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-3: Factors of 37458

List of positive integer factors of 37458 that divides 37458 without a remainder.

1, 2, 3, 6, 9, 18, 2081, 4162, 6243, 12486, 18729

Step-4: Factors of 37476

List of positive integer factors of 37476 that divides 37458 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37458 and 37476. The biggest common factor number is the GCF number.
So the greatest common factor 37458 and 37476 is 18.

Also check out the Least Common Multiple of 37458 and 37476