What is the Greatest Common Factor of 37850 and 37870?

Greatest common factor (GCF) of 37850 and 37870 is 10.

GCF(37850,37870) = 10

We will now calculate the prime factors of 37850 and 37870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37850 and 37870.

How to find the GCF of 37850 and 37870?

We will first find the prime factorization of 37850 and 37870. After we will calculate the factors of 37850 and 37870 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 37870

Prime factors of 37870 are 2, 5, 7, 541. Prime factorization of 37870 in exponential form is:

37870 = 2¹ × 5¹ × 7¹ × 541¹

Step-3: Factors of 37850

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

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

Step-4: Factors of 37870

List of positive integer factors of 37870 that divides 37850 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 541, 1082, 2705, 3787, 5410, 7574, 18935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37850 and 37870. The biggest common factor number is the GCF number.
So the greatest common factor 37850 and 37870 is 10.

Also check out the Least Common Multiple of 37850 and 37870