What is the Greatest Common Factor of 37467 and 37476?

Greatest common factor (GCF) of 37467 and 37476 is 9.

GCF(37467,37476) = 9

We will now calculate the prime factors of 37467 and 37476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37467 and 37476.

How to find the GCF of 37467 and 37476?

We will first find the prime factorization of 37467 and 37476. After we will calculate the factors of 37467 and 37476 and find the biggest common factor number .

Step-1: Prime Factorization of 37467

Prime factors of 37467 are 3, 23, 181. Prime factorization of 37467 in exponential form is:

37467 = 3² × 23¹ × 181¹

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 37467

List of positive integer factors of 37467 that divides 37467 without a remainder.

1, 3, 9, 23, 69, 181, 207, 543, 1629, 4163, 12489

Step-4: Factors of 37476

List of positive integer factors of 37476 that divides 37467 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 37467 and 37476. The biggest common factor number is the GCF number.
So the greatest common factor 37467 and 37476 is 9.

Also check out the Least Common Multiple of 37467 and 37476