What is the Greatest Common Factor of 37318 and 37336?

Greatest common factor (GCF) of 37318 and 37336 is 2.

GCF(37318,37336) = 2

We will now calculate the prime factors of 37318 and 37336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37318 and 37336.

How to find the GCF of 37318 and 37336?

We will first find the prime factorization of 37318 and 37336. After we will calculate the factors of 37318 and 37336 and find the biggest common factor number .

Step-1: Prime Factorization of 37318

Prime factors of 37318 are 2, 47, 397. Prime factorization of 37318 in exponential form is:

37318 = 2¹ × 47¹ × 397¹

Step-2: 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-3: Factors of 37318

List of positive integer factors of 37318 that divides 37318 without a remainder.

1, 2, 47, 94, 397, 794, 18659

Step-4: Factors of 37336

List of positive integer factors of 37336 that divides 37318 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37318 and 37336. The biggest common factor number is the GCF number.
So the greatest common factor 37318 and 37336 is 2.

Also check out the Least Common Multiple of 37318 and 37336