What is the Greatest Common Factor of 37425 and 37440?

Greatest common factor (GCF) of 37425 and 37440 is 15.

GCF(37425,37440) = 15

We will now calculate the prime factors of 37425 and 37440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37425 and 37440.

How to find the GCF of 37425 and 37440?

We will first find the prime factorization of 37425 and 37440. After we will calculate the factors of 37425 and 37440 and find the biggest common factor number .

Step-1: Prime Factorization of 37425

Prime factors of 37425 are 3, 5, 499. Prime factorization of 37425 in exponential form is:

37425 = 3¹ × 5² × 499¹

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 37425

List of positive integer factors of 37425 that divides 37425 without a remainder.

1, 3, 5, 15, 25, 75, 499, 1497, 2495, 7485, 12475

Step-4: Factors of 37440

List of positive integer factors of 37440 that divides 37425 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 37425 and 37440. The biggest common factor number is the GCF number.
So the greatest common factor 37425 and 37440 is 15.

Also check out the Least Common Multiple of 37425 and 37440