What is the Greatest Common Factor of 45505 and 45524?

Greatest common factor (GCF) of 45505 and 45524 is 19.

GCF(45505,45524) = 19

We will now calculate the prime factors of 45505 and 45524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45505 and 45524.

How to find the GCF of 45505 and 45524?

We will first find the prime factorization of 45505 and 45524. After we will calculate the factors of 45505 and 45524 and find the biggest common factor number .

Step-1: Prime Factorization of 45505

Prime factors of 45505 are 5, 19, 479. Prime factorization of 45505 in exponential form is:

45505 = 5¹ × 19¹ × 479¹

Step-2: Prime Factorization of 45524

Prime factors of 45524 are 2, 19, 599. Prime factorization of 45524 in exponential form is:

45524 = 2² × 19¹ × 599¹

Step-3: Factors of 45505

List of positive integer factors of 45505 that divides 45505 without a remainder.

1, 5, 19, 95, 479, 2395, 9101

Step-4: Factors of 45524

List of positive integer factors of 45524 that divides 45505 without a remainder.

1, 2, 4, 19, 38, 76, 599, 1198, 2396, 11381, 22762

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45505 and 45524. The biggest common factor number is the GCF number.
So the greatest common factor 45505 and 45524 is 19.

Also check out the Least Common Multiple of 45505 and 45524