What is the Greatest Common Factor of 37440 and 37458?

Greatest common factor (GCF) of 37440 and 37458 is 18.

GCF(37440,37458) = 18

We will now calculate the prime factors of 37440 and 37458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37440 and 37458.

How to find the GCF of 37440 and 37458?

We will first find the prime factorization of 37440 and 37458. After we will calculate the factors of 37440 and 37458 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 37458

Prime factors of 37458 are 2, 3, 2081. Prime factorization of 37458 in exponential form is:

37458 = 2¹ × 3² × 2081¹

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 37458

List of positive integer factors of 37458 that divides 37440 without a remainder.

1, 2, 3, 6, 9, 18, 2081, 4162, 6243, 12486, 18729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37440 and 37458. The biggest common factor number is the GCF number.
So the greatest common factor 37440 and 37458 is 18.

Also check out the Least Common Multiple of 37440 and 37458