What is the Greatest Common Factor of 45529 and 45549?

Greatest common factor (GCF) of 45529 and 45549 is 1.

GCF(45529,45549) = 1

We will now calculate the prime factors of 45529 and 45549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45529 and 45549.

How to find the GCF of 45529 and 45549?

We will first find the prime factorization of 45529 and 45549. After we will calculate the factors of 45529 and 45549 and find the biggest common factor number .

Step-1: Prime Factorization of 45529

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

45529 = 11¹ × 4139¹

Step-2: Prime Factorization of 45549

Prime factors of 45549 are 3, 7, 241. Prime factorization of 45549 in exponential form is:

45549 = 3³ × 7¹ × 241¹

Step-3: Factors of 45529

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

1, 11, 4139

Step-4: Factors of 45549

List of positive integer factors of 45549 that divides 45529 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 241, 723, 1687, 2169, 5061, 6507, 15183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45529 and 45549. The biggest common factor number is the GCF number.
So the greatest common factor 45529 and 45549 is 1.

Also check out the Least Common Multiple of 45529 and 45549