What is the Greatest Common Factor of 45475 and 45480?

Greatest common factor (GCF) of 45475 and 45480 is 5.

GCF(45475,45480) = 5

We will now calculate the prime factors of 45475 and 45480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45475 and 45480.

How to find the GCF of 45475 and 45480?

We will first find the prime factorization of 45475 and 45480. After we will calculate the factors of 45475 and 45480 and find the biggest common factor number .

Step-1: Prime Factorization of 45475

Prime factors of 45475 are 5, 17, 107. Prime factorization of 45475 in exponential form is:

45475 = 5² × 17¹ × 107¹

Step-2: Prime Factorization of 45480

Prime factors of 45480 are 2, 3, 5, 379. Prime factorization of 45480 in exponential form is:

45480 = 2³ × 3¹ × 5¹ × 379¹

Step-3: Factors of 45475

List of positive integer factors of 45475 that divides 45475 without a remainder.

1, 5, 17, 25, 85, 107, 425, 535, 1819, 2675, 9095

Step-4: Factors of 45480

List of positive integer factors of 45480 that divides 45475 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 379, 758, 1137, 1516, 1895, 2274, 3032, 3790, 4548, 5685, 7580, 9096, 11370, 15160, 22740

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45475 and 45480. The biggest common factor number is the GCF number.
So the greatest common factor 45475 and 45480 is 5.

Also check out the Least Common Multiple of 45475 and 45480