What is the Greatest Common Factor of 37335 and 37350?

Greatest common factor (GCF) of 37335 and 37350 is 15.

GCF(37335,37350) = 15

We will now calculate the prime factors of 37335 and 37350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37335 and 37350.

How to find the GCF of 37335 and 37350?

We will first find the prime factorization of 37335 and 37350. After we will calculate the factors of 37335 and 37350 and find the biggest common factor number .

Step-1: Prime Factorization of 37335

Prime factors of 37335 are 3, 5, 19, 131. Prime factorization of 37335 in exponential form is:

37335 = 3¹ × 5¹ × 19¹ × 131¹

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 37335

List of positive integer factors of 37335 that divides 37335 without a remainder.

1, 3, 5, 15, 19, 57, 95, 131, 285, 393, 655, 1965, 2489, 7467, 12445

Step-4: Factors of 37350

List of positive integer factors of 37350 that divides 37335 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 37335 and 37350. The biggest common factor number is the GCF number.
So the greatest common factor 37335 and 37350 is 15.

Also check out the Least Common Multiple of 37335 and 37350