What is the Greatest Common Factor of 37431 and 37440?

Greatest common factor (GCF) of 37431 and 37440 is 9.

GCF(37431,37440) = 9

We will now calculate the prime factors of 37431 and 37440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37431 and 37440.

How to find the GCF of 37431 and 37440?

We will first find the prime factorization of 37431 and 37440. After we will calculate the factors of 37431 and 37440 and find the biggest common factor number .

Step-1: Prime Factorization of 37431

Prime factors of 37431 are 3, 4159. Prime factorization of 37431 in exponential form is:

37431 = 3² × 4159¹

Step-2: 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-3: Factors of 37431

List of positive integer factors of 37431 that divides 37431 without a remainder.

1, 3, 9, 4159, 12477

Step-4: Factors of 37440

List of positive integer factors of 37440 that divides 37431 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37431 and 37440. The biggest common factor number is the GCF number.
So the greatest common factor 37431 and 37440 is 9.

Also check out the Least Common Multiple of 37431 and 37440