What is the Greatest Common Factor of 37875 and 37894?

Greatest common factor (GCF) of 37875 and 37894 is 1.

GCF(37875,37894) = 1

We will now calculate the prime factors of 37875 and 37894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37875 and 37894.

How to find the GCF of 37875 and 37894?

We will first find the prime factorization of 37875 and 37894. After we will calculate the factors of 37875 and 37894 and find the biggest common factor number .

Step-1: Prime Factorization of 37875

Prime factors of 37875 are 3, 5, 101. Prime factorization of 37875 in exponential form is:

37875 = 3¹ × 5³ × 101¹

Step-2: Prime Factorization of 37894

Prime factors of 37894 are 2, 18947. Prime factorization of 37894 in exponential form is:

37894 = 2¹ × 18947¹

Step-3: Factors of 37875

List of positive integer factors of 37875 that divides 37875 without a remainder.

1, 3, 5, 15, 25, 75, 101, 125, 303, 375, 505, 1515, 2525, 7575, 12625

Step-4: Factors of 37894

List of positive integer factors of 37894 that divides 37875 without a remainder.

1, 2, 18947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37875 and 37894. The biggest common factor number is the GCF number.
So the greatest common factor 37875 and 37894 is 1.

Also check out the Least Common Multiple of 37875 and 37894