What is the Greatest Common Factor of 37845 and 37850?

Greatest common factor (GCF) of 37845 and 37850 is 5.

GCF(37845,37850) = 5

We will now calculate the prime factors of 37845 and 37850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37845 and 37850.

How to find the GCF of 37845 and 37850?

We will first find the prime factorization of 37845 and 37850. After we will calculate the factors of 37845 and 37850 and find the biggest common factor number .

Step-1: Prime Factorization of 37845

Prime factors of 37845 are 3, 5, 29. Prime factorization of 37845 in exponential form is:

37845 = 3² × 5¹ × 29²

Step-2: Prime Factorization of 37850

Prime factors of 37850 are 2, 5, 757. Prime factorization of 37850 in exponential form is:

37850 = 2¹ × 5² × 757¹

Step-3: Factors of 37845

List of positive integer factors of 37845 that divides 37845 without a remainder.

1, 3, 5, 9, 15, 29, 45, 87, 145, 261, 435, 841, 1305, 2523, 4205, 7569, 12615

Step-4: Factors of 37850

List of positive integer factors of 37850 that divides 37845 without a remainder.

1, 2, 5, 10, 25, 50, 757, 1514, 3785, 7570, 18925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37845 and 37850. The biggest common factor number is the GCF number.
So the greatest common factor 37845 and 37850 is 5.

Also check out the Least Common Multiple of 37845 and 37850