What is the Greatest Common Factor of 37320 and 37335?

Greatest common factor (GCF) of 37320 and 37335 is 15.

GCF(37320,37335) = 15

We will now calculate the prime factors of 37320 and 37335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37320 and 37335.

How to find the GCF of 37320 and 37335?

We will first find the prime factorization of 37320 and 37335. After we will calculate the factors of 37320 and 37335 and find the biggest common factor number .

Step-1: Prime Factorization of 37320

Prime factors of 37320 are 2, 3, 5, 311. Prime factorization of 37320 in exponential form is:

37320 = 2³ × 3¹ × 5¹ × 311¹

Step-2: 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-3: Factors of 37320

List of positive integer factors of 37320 that divides 37320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 311, 622, 933, 1244, 1555, 1866, 2488, 3110, 3732, 4665, 6220, 7464, 9330, 12440, 18660

Step-4: Factors of 37335

List of positive integer factors of 37335 that divides 37320 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37320 and 37335. The biggest common factor number is the GCF number.
So the greatest common factor 37320 and 37335 is 15.

Also check out the Least Common Multiple of 37320 and 37335