What is the Greatest Common Factor of 37336 and 37353?

Greatest common factor (GCF) of 37336 and 37353 is 1.

GCF(37336,37353) = 1

We will now calculate the prime factors of 37336 and 37353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37336 and 37353.

How to find the GCF of 37336 and 37353?

We will first find the prime factorization of 37336 and 37353. After we will calculate the factors of 37336 and 37353 and find the biggest common factor number .

Step-1: Prime Factorization of 37336

Prime factors of 37336 are 2, 13, 359. Prime factorization of 37336 in exponential form is:

37336 = 2³ × 13¹ × 359¹

Step-2: Prime Factorization of 37353

Prime factors of 37353 are 3, 12451. Prime factorization of 37353 in exponential form is:

37353 = 3¹ × 12451¹

Step-3: Factors of 37336

List of positive integer factors of 37336 that divides 37336 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 359, 718, 1436, 2872, 4667, 9334, 18668

Step-4: Factors of 37353

List of positive integer factors of 37353 that divides 37336 without a remainder.

1, 3, 12451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37336 and 37353. The biggest common factor number is the GCF number.
So the greatest common factor 37336 and 37353 is 1.

Also check out the Least Common Multiple of 37336 and 37353