What is the Greatest Common Factor of 37344 and 37350?

Greatest common factor (GCF) of 37344 and 37350 is 6.

GCF(37344,37350) = 6

We will now calculate the prime factors of 37344 and 37350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37344 and 37350.

How to find the GCF of 37344 and 37350?

We will first find the prime factorization of 37344 and 37350. After we will calculate the factors of 37344 and 37350 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 37350

Prime factors of 37350 are 2, 3, 5, 83. Prime factorization of 37350 in exponential form is:

37350 = 2¹ × 3² × 5² × 83¹

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 37350

List of positive integer factors of 37350 that divides 37344 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 83, 90, 150, 166, 225, 249, 415, 450, 498, 747, 830, 1245, 1494, 2075, 2490, 3735, 4150, 6225, 7470, 12450, 18675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37344 and 37350. The biggest common factor number is the GCF number.
So the greatest common factor 37344 and 37350 is 6.

Also check out the Least Common Multiple of 37344 and 37350