What is the Greatest Common Factor of 37776 and 37785?

Greatest common factor (GCF) of 37776 and 37785 is 3.

GCF(37776,37785) = 3

We will now calculate the prime factors of 37776 and 37785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37776 and 37785.

How to find the GCF of 37776 and 37785?

We will first find the prime factorization of 37776 and 37785. After we will calculate the factors of 37776 and 37785 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 37785

Prime factors of 37785 are 3, 5, 11, 229. Prime factorization of 37785 in exponential form is:

37785 = 3¹ × 5¹ × 11¹ × 229¹

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 37785

List of positive integer factors of 37785 that divides 37776 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 229, 687, 1145, 2519, 3435, 7557, 12595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37776 and 37785. The biggest common factor number is the GCF number.
So the greatest common factor 37776 and 37785 is 3.

Also check out the Least Common Multiple of 37776 and 37785