What is the Greatest Common Factor of 37909 and 37919?

Greatest common factor (GCF) of 37909 and 37919 is 1.

GCF(37909,37919) = 1

We will now calculate the prime factors of 37909 and 37919, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37909 and 37919.

How to find the GCF of 37909 and 37919?

We will first find the prime factorization of 37909 and 37919. After we will calculate the factors of 37909 and 37919 and find the biggest common factor number .

Step-1: Prime Factorization of 37909

Prime factors of 37909 are 167, 227. Prime factorization of 37909 in exponential form is:

37909 = 167¹ × 227¹

Step-2: Prime Factorization of 37919

Prime factors of 37919 are 7, 5417. Prime factorization of 37919 in exponential form is:

37919 = 7¹ × 5417¹

Step-3: Factors of 37909

List of positive integer factors of 37909 that divides 37909 without a remainder.

1, 167, 227

Step-4: Factors of 37919

List of positive integer factors of 37919 that divides 37909 without a remainder.

1, 7, 5417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37909 and 37919. The biggest common factor number is the GCF number.
So the greatest common factor 37909 and 37919 is 1.

Also check out the Least Common Multiple of 37909 and 37919