What is the Greatest Common Factor of 37785 and 37796?

Greatest common factor (GCF) of 37785 and 37796 is 11.

GCF(37785,37796) = 11

We will now calculate the prime factors of 37785 and 37796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37785 and 37796.

How to find the GCF of 37785 and 37796?

We will first find the prime factorization of 37785 and 37796. After we will calculate the factors of 37785 and 37796 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 37796

Prime factors of 37796 are 2, 11, 859. Prime factorization of 37796 in exponential form is:

37796 = 2² × 11¹ × 859¹

Step-3: Factors of 37785

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

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

Step-4: Factors of 37796

List of positive integer factors of 37796 that divides 37785 without a remainder.

1, 2, 4, 11, 22, 44, 859, 1718, 3436, 9449, 18898

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37785 and 37796. The biggest common factor number is the GCF number.
So the greatest common factor 37785 and 37796 is 11.

Also check out the Least Common Multiple of 37785 and 37796