What is the Greatest Common Factor of 37806 and 37824?

Greatest common factor (GCF) of 37806 and 37824 is 6.

GCF(37806,37824) = 6

We will now calculate the prime factors of 37806 and 37824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37806 and 37824.

How to find the GCF of 37806 and 37824?

We will first find the prime factorization of 37806 and 37824. After we will calculate the factors of 37806 and 37824 and find the biggest common factor number .

Step-1: Prime Factorization of 37806

Prime factors of 37806 are 2, 3, 6301. Prime factorization of 37806 in exponential form is:

37806 = 2¹ × 3¹ × 6301¹

Step-2: Prime Factorization of 37824

Prime factors of 37824 are 2, 3, 197. Prime factorization of 37824 in exponential form is:

37824 = 2⁶ × 3¹ × 197¹

Step-3: Factors of 37806

List of positive integer factors of 37806 that divides 37806 without a remainder.

1, 2, 3, 6, 6301, 12602, 18903

Step-4: Factors of 37824

List of positive integer factors of 37824 that divides 37806 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 197, 394, 591, 788, 1182, 1576, 2364, 3152, 4728, 6304, 9456, 12608, 18912

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37806 and 37824. The biggest common factor number is the GCF number.
So the greatest common factor 37806 and 37824 is 6.

Also check out the Least Common Multiple of 37806 and 37824