What is the Greatest Common Factor of 37331 and 37349?

Greatest common factor (GCF) of 37331 and 37349 is 1.

GCF(37331,37349) = 1

We will now calculate the prime factors of 37331 and 37349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37331 and 37349.

How to find the GCF of 37331 and 37349?

We will first find the prime factorization of 37331 and 37349. After we will calculate the factors of 37331 and 37349 and find the biggest common factor number .

Step-1: Prime Factorization of 37331

Prime factors of 37331 are 7, 5333. Prime factorization of 37331 in exponential form is:

37331 = 7¹ × 5333¹

Step-2: Prime Factorization of 37349

Prime factors of 37349 are 13, 17. Prime factorization of 37349 in exponential form is:

37349 = 13³ × 17¹

Step-3: Factors of 37331

List of positive integer factors of 37331 that divides 37331 without a remainder.

1, 7, 5333

Step-4: Factors of 37349

List of positive integer factors of 37349 that divides 37331 without a remainder.

1, 13, 17, 169, 221, 2197, 2873

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37331 and 37349. The biggest common factor number is the GCF number.
So the greatest common factor 37331 and 37349 is 1.

Also check out the Least Common Multiple of 37331 and 37349