What is the Greatest Common Factor of 37336 and 37354?

Greatest common factor (GCF) of 37336 and 37354 is 2.

GCF(37336,37354) = 2

We will now calculate the prime factors of 37336 and 37354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37336 and 37354.

How to find the GCF of 37336 and 37354?

We will first find the prime factorization of 37336 and 37354. After we will calculate the factors of 37336 and 37354 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 37354

Prime factors of 37354 are 2, 19, 983. Prime factorization of 37354 in exponential form is:

37354 = 2¹ × 19¹ × 983¹

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 37354

List of positive integer factors of 37354 that divides 37336 without a remainder.

1, 2, 19, 38, 983, 1966, 18677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37336 and 37354. The biggest common factor number is the GCF number.
So the greatest common factor 37336 and 37354 is 2.

Also check out the Least Common Multiple of 37336 and 37354