What is the Greatest Common Factor of 45120 and 45125?

Greatest common factor (GCF) of 45120 and 45125 is 5.

GCF(45120,45125) = 5

We will now calculate the prime factors of 45120 and 45125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45120 and 45125.

How to find the GCF of 45120 and 45125?

We will first find the prime factorization of 45120 and 45125. After we will calculate the factors of 45120 and 45125 and find the biggest common factor number .

Step-1: Prime Factorization of 45120

Prime factors of 45120 are 2, 3, 5, 47. Prime factorization of 45120 in exponential form is:

45120 = 2⁶ × 3¹ × 5¹ × 47¹

Step-2: Prime Factorization of 45125

Prime factors of 45125 are 5, 19. Prime factorization of 45125 in exponential form is:

45125 = 5³ × 19²

Step-3: Factors of 45120

List of positive integer factors of 45120 that divides 45120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 47, 48, 60, 64, 80, 94, 96, 120, 141, 160, 188, 192, 235, 240, 282, 320, 376, 470, 480, 564, 705, 752, 940, 960, 1128, 1410, 1504, 1880, 2256, 2820, 3008, 3760, 4512, 5640, 7520, 9024, 11280, 15040, 22560

Step-4: Factors of 45125

List of positive integer factors of 45125 that divides 45120 without a remainder.

1, 5, 19, 25, 95, 125, 361, 475, 1805, 2375, 9025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45120 and 45125. The biggest common factor number is the GCF number.
So the greatest common factor 45120 and 45125 is 5.

Also check out the Least Common Multiple of 45120 and 45125