What is the Greatest Common Factor of 37776 and 37794?

Greatest common factor (GCF) of 37776 and 37794 is 6.

GCF(37776,37794) = 6

We will now calculate the prime factors of 37776 and 37794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37776 and 37794.

How to find the GCF of 37776 and 37794?

We will first find the prime factorization of 37776 and 37794. After we will calculate the factors of 37776 and 37794 and find the biggest common factor number .

Step-1: Prime Factorization of 37776

Prime factors of 37776 are 2, 3, 787. Prime factorization of 37776 in exponential form is:

37776 = 2⁴ × 3¹ × 787¹

Step-2: Prime Factorization of 37794

Prime factors of 37794 are 2, 3, 6299. Prime factorization of 37794 in exponential form is:

37794 = 2¹ × 3¹ × 6299¹

Step-3: Factors of 37776

List of positive integer factors of 37776 that divides 37776 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 787, 1574, 2361, 3148, 4722, 6296, 9444, 12592, 18888

Step-4: Factors of 37794

List of positive integer factors of 37794 that divides 37776 without a remainder.

1, 2, 3, 6, 6299, 12598, 18897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37776 and 37794. The biggest common factor number is the GCF number.
So the greatest common factor 37776 and 37794 is 6.

Also check out the Least Common Multiple of 37776 and 37794