What is the Greatest Common Factor of 37250 and 37254?

Greatest common factor (GCF) of 37250 and 37254 is 2.

GCF(37250,37254) = 2

We will now calculate the prime factors of 37250 and 37254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37250 and 37254.

How to find the GCF of 37250 and 37254?

We will first find the prime factorization of 37250 and 37254. After we will calculate the factors of 37250 and 37254 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 37254

Prime factors of 37254 are 2, 3, 7, 887. Prime factorization of 37254 in exponential form is:

37254 = 2¹ × 3¹ × 7¹ × 887¹

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 37254

List of positive integer factors of 37254 that divides 37250 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 887, 1774, 2661, 5322, 6209, 12418, 18627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37250 and 37254. The biggest common factor number is the GCF number.
So the greatest common factor 37250 and 37254 is 2.

Also check out the Least Common Multiple of 37250 and 37254