What is the Greatest Common Factor of 37440 and 37445?

Greatest common factor (GCF) of 37440 and 37445 is 5.

GCF(37440,37445) = 5

We will now calculate the prime factors of 37440 and 37445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37440 and 37445.

How to find the GCF of 37440 and 37445?

We will first find the prime factorization of 37440 and 37445. After we will calculate the factors of 37440 and 37445 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 37445

Prime factors of 37445 are 5, 7489. Prime factorization of 37445 in exponential form is:

37445 = 5¹ × 7489¹

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 37445

List of positive integer factors of 37445 that divides 37440 without a remainder.

1, 5, 7489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37440 and 37445. The biggest common factor number is the GCF number.
So the greatest common factor 37440 and 37445 is 5.

Also check out the Least Common Multiple of 37440 and 37445