What is the Greatest Common Factor of 37424 and 37440?

Greatest common factor (GCF) of 37424 and 37440 is 16.

GCF(37424,37440) = 16

We will now calculate the prime factors of 37424 and 37440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37424 and 37440.

How to find the GCF of 37424 and 37440?

We will first find the prime factorization of 37424 and 37440. After we will calculate the factors of 37424 and 37440 and find the biggest common factor number .

Step-1: Prime Factorization of 37424

Prime factors of 37424 are 2, 2339. Prime factorization of 37424 in exponential form is:

37424 = 2⁴ × 2339¹

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 37424

List of positive integer factors of 37424 that divides 37424 without a remainder.

1, 2, 4, 8, 16, 2339, 4678, 9356, 18712

Step-4: Factors of 37440

List of positive integer factors of 37440 that divides 37424 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 37424 and 37440. The biggest common factor number is the GCF number.
So the greatest common factor 37424 and 37440 is 16.

Also check out the Least Common Multiple of 37424 and 37440