What is the Greatest Common Factor of 37150 and 37156?

Greatest common factor (GCF) of 37150 and 37156 is 2.

GCF(37150,37156) = 2

We will now calculate the prime factors of 37150 and 37156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37150 and 37156.

How to find the GCF of 37150 and 37156?

We will first find the prime factorization of 37150 and 37156. After we will calculate the factors of 37150 and 37156 and find the biggest common factor number .

Step-1: Prime Factorization of 37150

Prime factors of 37150 are 2, 5, 743. Prime factorization of 37150 in exponential form is:

37150 = 2¹ × 5² × 743¹

Step-2: Prime Factorization of 37156

Prime factors of 37156 are 2, 7, 1327. Prime factorization of 37156 in exponential form is:

37156 = 2² × 7¹ × 1327¹

Step-3: Factors of 37150

List of positive integer factors of 37150 that divides 37150 without a remainder.

1, 2, 5, 10, 25, 50, 743, 1486, 3715, 7430, 18575

Step-4: Factors of 37156

List of positive integer factors of 37156 that divides 37150 without a remainder.

1, 2, 4, 7, 14, 28, 1327, 2654, 5308, 9289, 18578

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37150 and 37156. The biggest common factor number is the GCF number.
So the greatest common factor 37150 and 37156 is 2.

Also check out the Least Common Multiple of 37150 and 37156