What is the Greatest Common Factor of 37874 and 37891?

Greatest common factor (GCF) of 37874 and 37891 is 1.

GCF(37874,37891) = 1

We will now calculate the prime factors of 37874 and 37891, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37874 and 37891.

How to find the GCF of 37874 and 37891?

We will first find the prime factorization of 37874 and 37891. After we will calculate the factors of 37874 and 37891 and find the biggest common factor number .

Step-1: Prime Factorization of 37874

Prime factors of 37874 are 2, 29, 653. Prime factorization of 37874 in exponential form is:

37874 = 2¹ × 29¹ × 653¹

Step-2: Prime Factorization of 37891

Prime factors of 37891 are 7, 5413. Prime factorization of 37891 in exponential form is:

37891 = 7¹ × 5413¹

Step-3: Factors of 37874

List of positive integer factors of 37874 that divides 37874 without a remainder.

1, 2, 29, 58, 653, 1306, 18937

Step-4: Factors of 37891

List of positive integer factors of 37891 that divides 37874 without a remainder.

1, 7, 5413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37874 and 37891. The biggest common factor number is the GCF number.
So the greatest common factor 37874 and 37891 is 1.

Also check out the Least Common Multiple of 37874 and 37891