What is the Greatest Common Factor of 37440 and 37455?

Greatest common factor (GCF) of 37440 and 37455 is 15.

GCF(37440,37455) = 15

We will now calculate the prime factors of 37440 and 37455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37440 and 37455.

How to find the GCF of 37440 and 37455?

We will first find the prime factorization of 37440 and 37455. After we will calculate the factors of 37440 and 37455 and find the biggest common factor number .

Step-1: Prime Factorization of 37440

Prime factors of 37440 are 2, 3, 5, 13. Prime factorization of 37440 in exponential form is:

37440 = 2⁶ × 3² × 5¹ × 13¹

Step-2: Prime Factorization of 37455

Prime factors of 37455 are 3, 5, 11, 227. Prime factorization of 37455 in exponential form is:

37455 = 3¹ × 5¹ × 11¹ × 227¹

Step-3: Factors of 37440

List of positive integer factors of 37440 that divides 37440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 18, 20, 24, 26, 30, 32, 36, 39, 40, 45, 48, 52, 60, 64, 65, 72, 78, 80, 90, 96, 104, 117, 120, 130, 144, 156, 160, 180, 192, 195, 208, 234, 240, 260, 288, 312, 320, 360, 390, 416, 468, 480, 520, 576, 585, 624, 720, 780, 832, 936, 960, 1040, 1170, 1248, 1440, 1560, 1872, 2080, 2340, 2496, 2880, 3120, 3744, 4160, 4680, 6240, 7488, 9360, 12480, 18720

Step-4: Factors of 37455

List of positive integer factors of 37455 that divides 37440 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 227, 681, 1135, 2497, 3405, 7491, 12485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37440 and 37455. The biggest common factor number is the GCF number.
So the greatest common factor 37440 and 37455 is 15.

Also check out the Least Common Multiple of 37440 and 37455