What is the Greatest Common Factor of 37875 and 37895?

Greatest common factor (GCF) of 37875 and 37895 is 5.

GCF(37875,37895) = 5

We will now calculate the prime factors of 37875 and 37895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37875 and 37895.

How to find the GCF of 37875 and 37895?

We will first find the prime factorization of 37875 and 37895. After we will calculate the factors of 37875 and 37895 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 37895

Prime factors of 37895 are 5, 11, 13, 53. Prime factorization of 37895 in exponential form is:

37895 = 5¹ × 11¹ × 13¹ × 53¹

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 37895

List of positive integer factors of 37895 that divides 37875 without a remainder.

1, 5, 11, 13, 53, 55, 65, 143, 265, 583, 689, 715, 2915, 3445, 7579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37875 and 37895. The biggest common factor number is the GCF number.
So the greatest common factor 37875 and 37895 is 5.

Also check out the Least Common Multiple of 37875 and 37895