What is the Greatest Common Factor of 45600 and 45615?

Greatest common factor (GCF) of 45600 and 45615 is 15.

GCF(45600,45615) = 15

We will now calculate the prime factors of 45600 and 45615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45600 and 45615.

How to find the GCF of 45600 and 45615?

We will first find the prime factorization of 45600 and 45615. After we will calculate the factors of 45600 and 45615 and find the biggest common factor number .

Step-1: Prime Factorization of 45600

Prime factors of 45600 are 2, 3, 5, 19. Prime factorization of 45600 in exponential form is:

45600 = 2⁵ × 3¹ × 5² × 19¹

Step-2: Prime Factorization of 45615

Prime factors of 45615 are 3, 5, 3041. Prime factorization of 45615 in exponential form is:

45615 = 3¹ × 5¹ × 3041¹

Step-3: Factors of 45600

List of positive integer factors of 45600 that divides 45600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 19, 20, 24, 25, 30, 32, 38, 40, 48, 50, 57, 60, 75, 76, 80, 95, 96, 100, 114, 120, 150, 152, 160, 190, 200, 228, 240, 285, 300, 304, 380, 400, 456, 475, 480, 570, 600, 608, 760, 800, 912, 950, 1140, 1200, 1425, 1520, 1824, 1900, 2280, 2400, 2850, 3040, 3800, 4560, 5700, 7600, 9120, 11400, 15200, 22800

Step-4: Factors of 45615

List of positive integer factors of 45615 that divides 45600 without a remainder.

1, 3, 5, 15, 3041, 9123, 15205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45600 and 45615. The biggest common factor number is the GCF number.
So the greatest common factor 45600 and 45615 is 15.

Also check out the Least Common Multiple of 45600 and 45615