What is the Greatest Common Factor of 37334 and 37344?

Greatest common factor (GCF) of 37334 and 37344 is 2.

GCF(37334,37344) = 2

We will now calculate the prime factors of 37334 and 37344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37334 and 37344.

How to find the GCF of 37334 and 37344?

We will first find the prime factorization of 37334 and 37344. After we will calculate the factors of 37334 and 37344 and find the biggest common factor number .

Step-1: Prime Factorization of 37334

Prime factors of 37334 are 2, 11, 1697. Prime factorization of 37334 in exponential form is:

37334 = 2¹ × 11¹ × 1697¹

Step-2: 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-3: Factors of 37334

List of positive integer factors of 37334 that divides 37334 without a remainder.

1, 2, 11, 22, 1697, 3394, 18667

Step-4: Factors of 37344

List of positive integer factors of 37344 that divides 37334 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37334 and 37344. The biggest common factor number is the GCF number.
So the greatest common factor 37334 and 37344 is 2.

Also check out the Least Common Multiple of 37334 and 37344