What is the Greatest Common Factor of 37350 and 37368?

Greatest common factor (GCF) of 37350 and 37368 is 18.

GCF(37350,37368) = 18

We will now calculate the prime factors of 37350 and 37368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37350 and 37368.

How to find the GCF of 37350 and 37368?

We will first find the prime factorization of 37350 and 37368. After we will calculate the factors of 37350 and 37368 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 37368

Prime factors of 37368 are 2, 3, 173. Prime factorization of 37368 in exponential form is:

37368 = 2³ × 3³ × 173¹

Step-3: Factors of 37350

List of positive integer factors of 37350 that divides 37350 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

Step-4: Factors of 37368

List of positive integer factors of 37368 that divides 37350 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 173, 216, 346, 519, 692, 1038, 1384, 1557, 2076, 3114, 4152, 4671, 6228, 9342, 12456, 18684

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37350 and 37368. The biggest common factor number is the GCF number.
So the greatest common factor 37350 and 37368 is 18.

Also check out the Least Common Multiple of 37350 and 37368