What is the Greatest Common Factor of 45360 and 45380?

Greatest common factor (GCF) of 45360 and 45380 is 20.

GCF(45360,45380) = 20

We will now calculate the prime factors of 45360 and 45380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45360 and 45380.

How to find the GCF of 45360 and 45380?

We will first find the prime factorization of 45360 and 45380. After we will calculate the factors of 45360 and 45380 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 45380

Prime factors of 45380 are 2, 5, 2269. Prime factorization of 45380 in exponential form is:

45380 = 2² × 5¹ × 2269¹

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 45380

List of positive integer factors of 45380 that divides 45360 without a remainder.

1, 2, 4, 5, 10, 20, 2269, 4538, 9076, 11345, 22690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45360 and 45380. The biggest common factor number is the GCF number.
So the greatest common factor 45360 and 45380 is 20.

Also check out the Least Common Multiple of 45360 and 45380