What is the Greatest Common Factor of 45480 and 45488?

Greatest common factor (GCF) of 45480 and 45488 is 8.

GCF(45480,45488) = 8

We will now calculate the prime factors of 45480 and 45488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45480 and 45488.

How to find the GCF of 45480 and 45488?

We will first find the prime factorization of 45480 and 45488. After we will calculate the factors of 45480 and 45488 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45488

Prime factors of 45488 are 2, 2843. Prime factorization of 45488 in exponential form is:

45488 = 2⁴ × 2843¹

Step-3: Factors of 45480

List of positive integer factors of 45480 that divides 45480 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

Step-4: Factors of 45488

List of positive integer factors of 45488 that divides 45480 without a remainder.

1, 2, 4, 8, 16, 2843, 5686, 11372, 22744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45480 and 45488. The biggest common factor number is the GCF number.
So the greatest common factor 45480 and 45488 is 8.

Also check out the Least Common Multiple of 45480 and 45488