What is the Greatest Common Factor of 37250 and 37266?

Greatest common factor (GCF) of 37250 and 37266 is 2.

GCF(37250,37266) = 2

We will now calculate the prime factors of 37250 and 37266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37250 and 37266.

How to find the GCF of 37250 and 37266?

We will first find the prime factorization of 37250 and 37266. After we will calculate the factors of 37250 and 37266 and find the biggest common factor number .

Step-1: Prime Factorization of 37250

Prime factors of 37250 are 2, 5, 149. Prime factorization of 37250 in exponential form is:

37250 = 2¹ × 5³ × 149¹

Step-2: Prime Factorization of 37266

Prime factors of 37266 are 2, 3, 6211. Prime factorization of 37266 in exponential form is:

37266 = 2¹ × 3¹ × 6211¹

Step-3: Factors of 37250

List of positive integer factors of 37250 that divides 37250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 149, 250, 298, 745, 1490, 3725, 7450, 18625

Step-4: Factors of 37266

List of positive integer factors of 37266 that divides 37250 without a remainder.

1, 2, 3, 6, 6211, 12422, 18633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37250 and 37266. The biggest common factor number is the GCF number.
So the greatest common factor 37250 and 37266 is 2.

Also check out the Least Common Multiple of 37250 and 37266