What is the Greatest Common Factor of 45360 and 45372?

Greatest common factor (GCF) of 45360 and 45372 is 12.

GCF(45360,45372) = 12

We will now calculate the prime factors of 45360 and 45372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45360 and 45372.

How to find the GCF of 45360 and 45372?

We will first find the prime factorization of 45360 and 45372. After we will calculate the factors of 45360 and 45372 and find the biggest common factor number .

Step-1: Prime Factorization of 45360

Prime factors of 45360 are 2, 3, 5, 7. Prime factorization of 45360 in exponential form is:

45360 = 2⁴ × 3⁴ × 5¹ × 7¹

Step-2: Prime Factorization of 45372

Prime factors of 45372 are 2, 3, 19, 199. Prime factorization of 45372 in exponential form is:

45372 = 2² × 3¹ × 19¹ × 199¹

Step-3: Factors of 45360

List of positive integer factors of 45360 that divides 45360 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 27, 28, 30, 35, 36, 40, 42, 45, 48, 54, 56, 60, 63, 70, 72, 80, 81, 84, 90, 105, 108, 112, 120, 126, 135, 140, 144, 162, 168, 180, 189, 210, 216, 240, 252, 270, 280, 315, 324, 336, 360, 378, 405, 420, 432, 504, 540, 560, 567, 630, 648, 720, 756, 810, 840, 945, 1008, 1080, 1134, 1260, 1296, 1512, 1620, 1680, 1890, 2160, 2268, 2520, 2835, 3024, 3240, 3780, 4536, 5040, 5670, 6480, 7560, 9072, 11340, 15120, 22680

Step-4: Factors of 45372

List of positive integer factors of 45372 that divides 45360 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 199, 228, 398, 597, 796, 1194, 2388, 3781, 7562, 11343, 15124, 22686

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45360 and 45372. The biggest common factor number is the GCF number.
So the greatest common factor 45360 and 45372 is 12.

Also check out the Least Common Multiple of 45360 and 45372