What is the Greatest Common Factor of 45518 and 45529?

Greatest common factor (GCF) of 45518 and 45529 is 11.

GCF(45518,45529) = 11

We will now calculate the prime factors of 45518 and 45529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45518 and 45529.

How to find the GCF of 45518 and 45529?

We will first find the prime factorization of 45518 and 45529. After we will calculate the factors of 45518 and 45529 and find the biggest common factor number .

Step-1: Prime Factorization of 45518

Prime factors of 45518 are 2, 11, 2069. Prime factorization of 45518 in exponential form is:

45518 = 2¹ × 11¹ × 2069¹

Step-2: Prime Factorization of 45529

Prime factors of 45529 are 11, 4139. Prime factorization of 45529 in exponential form is:

45529 = 11¹ × 4139¹

Step-3: Factors of 45518

List of positive integer factors of 45518 that divides 45518 without a remainder.

1, 2, 11, 22, 2069, 4138, 22759

Step-4: Factors of 45529

List of positive integer factors of 45529 that divides 45518 without a remainder.

1, 11, 4139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45518 and 45529. The biggest common factor number is the GCF number.
So the greatest common factor 45518 and 45529 is 11.

Also check out the Least Common Multiple of 45518 and 45529