What is the Greatest Common Factor of 45645 and 45655?

Greatest common factor (GCF) of 45645 and 45655 is 5.

GCF(45645,45655) = 5

We will now calculate the prime factors of 45645 and 45655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45645 and 45655.

How to find the GCF of 45645 and 45655?

We will first find the prime factorization of 45645 and 45655. After we will calculate the factors of 45645 and 45655 and find the biggest common factor number .

Step-1: Prime Factorization of 45645

Prime factors of 45645 are 3, 5, 17, 179. Prime factorization of 45645 in exponential form is:

45645 = 3¹ × 5¹ × 17¹ × 179¹

Step-2: Prime Factorization of 45655

Prime factors of 45655 are 5, 23, 397. Prime factorization of 45655 in exponential form is:

45655 = 5¹ × 23¹ × 397¹

Step-3: Factors of 45645

List of positive integer factors of 45645 that divides 45645 without a remainder.

1, 3, 5, 15, 17, 51, 85, 179, 255, 537, 895, 2685, 3043, 9129, 15215

Step-4: Factors of 45655

List of positive integer factors of 45655 that divides 45645 without a remainder.

1, 5, 23, 115, 397, 1985, 9131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45645 and 45655. The biggest common factor number is the GCF number.
So the greatest common factor 45645 and 45655 is 5.

Also check out the Least Common Multiple of 45645 and 45655