What is the Greatest Common Factor of 45524 and 45538?

Greatest common factor (GCF) of 45524 and 45538 is 2.

GCF(45524,45538) = 2

We will now calculate the prime factors of 45524 and 45538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45524 and 45538.

How to find the GCF of 45524 and 45538?

We will first find the prime factorization of 45524 and 45538. After we will calculate the factors of 45524 and 45538 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45538

Prime factors of 45538 are 2, 22769. Prime factorization of 45538 in exponential form is:

45538 = 2¹ × 22769¹

Step-3: Factors of 45524

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

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

Step-4: Factors of 45538

List of positive integer factors of 45538 that divides 45524 without a remainder.

1, 2, 22769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45524 and 45538. The biggest common factor number is the GCF number.
So the greatest common factor 45524 and 45538 is 2.

Also check out the Least Common Multiple of 45524 and 45538