What is the Greatest Common Factor of 45480 and 45497?

Greatest common factor (GCF) of 45480 and 45497 is 1.

GCF(45480,45497) = 1

We will now calculate the prime factors of 45480 and 45497, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45480 and 45497.

How to find the GCF of 45480 and 45497?

We will first find the prime factorization of 45480 and 45497. After we will calculate the factors of 45480 and 45497 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 45497

Prime factors of 45497 are 45497. Prime factorization of 45497 in exponential form is:

45497 = 45497¹

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 45497

List of positive integer factors of 45497 that divides 45480 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45480 and 45497. The biggest common factor number is the GCF number.
So the greatest common factor 45480 and 45497 is 1.

Also check out the Least Common Multiple of 45480 and 45497