What is the Greatest Common Factor of 37344 and 37361?

Greatest common factor (GCF) of 37344 and 37361 is 1.

GCF(37344,37361) = 1

We will now calculate the prime factors of 37344 and 37361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37344 and 37361.

How to find the GCF of 37344 and 37361?

We will first find the prime factorization of 37344 and 37361. After we will calculate the factors of 37344 and 37361 and find the biggest common factor number .

Step-1: Prime Factorization of 37344

Prime factors of 37344 are 2, 3, 389. Prime factorization of 37344 in exponential form is:

37344 = 2⁵ × 3¹ × 389¹

Step-2: Prime Factorization of 37361

Prime factors of 37361 are 37361. Prime factorization of 37361 in exponential form is:

37361 = 37361¹

Step-3: Factors of 37344

List of positive integer factors of 37344 that divides 37344 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 389, 778, 1167, 1556, 2334, 3112, 4668, 6224, 9336, 12448, 18672

Step-4: Factors of 37361

List of positive integer factors of 37361 that divides 37344 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37344 and 37361. The biggest common factor number is the GCF number.
So the greatest common factor 37344 and 37361 is 1.

Also check out the Least Common Multiple of 37344 and 37361