What is the Greatest Common Factor of 45360 and 45378?

Greatest common factor (GCF) of 45360 and 45378 is 18.

GCF(45360,45378) = 18

We will now calculate the prime factors of 45360 and 45378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45360 and 45378.

How to find the GCF of 45360 and 45378?

We will first find the prime factorization of 45360 and 45378. After we will calculate the factors of 45360 and 45378 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 45378

Prime factors of 45378 are 2, 3, 2521. Prime factorization of 45378 in exponential form is:

45378 = 2¹ × 3² × 2521¹

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 45378

List of positive integer factors of 45378 that divides 45360 without a remainder.

1, 2, 3, 6, 9, 18, 2521, 5042, 7563, 15126, 22689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45360 and 45378. The biggest common factor number is the GCF number.
So the greatest common factor 45360 and 45378 is 18.

Also check out the Least Common Multiple of 45360 and 45378