What is the Greatest Common Factor of 37785 and 37797?

Greatest common factor (GCF) of 37785 and 37797 is 3.

GCF(37785,37797) = 3

We will now calculate the prime factors of 37785 and 37797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37785 and 37797.

How to find the GCF of 37785 and 37797?

We will first find the prime factorization of 37785 and 37797. After we will calculate the factors of 37785 and 37797 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 37797

Prime factors of 37797 are 3, 43, 293. Prime factorization of 37797 in exponential form is:

37797 = 3¹ × 43¹ × 293¹

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 37797

List of positive integer factors of 37797 that divides 37785 without a remainder.

1, 3, 43, 129, 293, 879, 12599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37785 and 37797. The biggest common factor number is the GCF number.
So the greatest common factor 37785 and 37797 is 3.

Also check out the Least Common Multiple of 37785 and 37797