What is the Greatest Common Factor of 37894 and 37913?

Greatest common factor (GCF) of 37894 and 37913 is 1.

GCF(37894,37913) = 1

We will now calculate the prime factors of 37894 and 37913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37894 and 37913.

How to find the GCF of 37894 and 37913?

We will first find the prime factorization of 37894 and 37913. After we will calculate the factors of 37894 and 37913 and find the biggest common factor number .

Step-1: Prime Factorization of 37894

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

37894 = 2¹ × 18947¹

Step-2: Prime Factorization of 37913

Prime factors of 37913 are 31, 1223. Prime factorization of 37913 in exponential form is:

37913 = 31¹ × 1223¹

Step-3: Factors of 37894

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

1, 2, 18947

Step-4: Factors of 37913

List of positive integer factors of 37913 that divides 37894 without a remainder.

1, 31, 1223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37894 and 37913. The biggest common factor number is the GCF number.
So the greatest common factor 37894 and 37913 is 1.

Also check out the Least Common Multiple of 37894 and 37913