What is the Greatest Common Factor of 37540 and 37550?

Greatest common factor (GCF) of 37540 and 37550 is 10.

GCF(37540,37550) = 10

We will now calculate the prime factors of 37540 and 37550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37540 and 37550.

How to find the GCF of 37540 and 37550?

We will first find the prime factorization of 37540 and 37550. After we will calculate the factors of 37540 and 37550 and find the biggest common factor number .

Step-1: Prime Factorization of 37540

Prime factors of 37540 are 2, 5, 1877. Prime factorization of 37540 in exponential form is:

37540 = 2² × 5¹ × 1877¹

Step-2: Prime Factorization of 37550

Prime factors of 37550 are 2, 5, 751. Prime factorization of 37550 in exponential form is:

37550 = 2¹ × 5² × 751¹

Step-3: Factors of 37540

List of positive integer factors of 37540 that divides 37540 without a remainder.

1, 2, 4, 5, 10, 20, 1877, 3754, 7508, 9385, 18770

Step-4: Factors of 37550

List of positive integer factors of 37550 that divides 37540 without a remainder.

1, 2, 5, 10, 25, 50, 751, 1502, 3755, 7510, 18775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37540 and 37550. The biggest common factor number is the GCF number.
So the greatest common factor 37540 and 37550 is 10.

Also check out the Least Common Multiple of 37540 and 37550