What is the Greatest Common Factor of 37785 and 37795?

Greatest common factor (GCF) of 37785 and 37795 is 5.

GCF(37785,37795) = 5

We will now calculate the prime factors of 37785 and 37795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37785 and 37795.

How to find the GCF of 37785 and 37795?

We will first find the prime factorization of 37785 and 37795. After we will calculate the factors of 37785 and 37795 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 37795

Prime factors of 37795 are 5, 7559. Prime factorization of 37795 in exponential form is:

37795 = 5¹ × 7559¹

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 37795

List of positive integer factors of 37795 that divides 37785 without a remainder.

1, 5, 7559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37785 and 37795. The biggest common factor number is the GCF number.
So the greatest common factor 37785 and 37795 is 5.

Also check out the Least Common Multiple of 37785 and 37795