What is the Greatest Common Factor of 45489 and 45499?

Greatest common factor (GCF) of 45489 and 45499 is 1.

GCF(45489,45499) = 1

We will now calculate the prime factors of 45489 and 45499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45489 and 45499.

How to find the GCF of 45489 and 45499?

We will first find the prime factorization of 45489 and 45499. After we will calculate the factors of 45489 and 45499 and find the biggest common factor number .

Step-1: Prime Factorization of 45489

Prime factors of 45489 are 3, 59, 257. Prime factorization of 45489 in exponential form is:

45489 = 3¹ × 59¹ × 257¹

Step-2: Prime Factorization of 45499

Prime factors of 45499 are 173, 263. Prime factorization of 45499 in exponential form is:

45499 = 173¹ × 263¹

Step-3: Factors of 45489

List of positive integer factors of 45489 that divides 45489 without a remainder.

1, 3, 59, 177, 257, 771, 15163

Step-4: Factors of 45499

List of positive integer factors of 45499 that divides 45489 without a remainder.

1, 173, 263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45489 and 45499. The biggest common factor number is the GCF number.
So the greatest common factor 45489 and 45499 is 1.

Also check out the Least Common Multiple of 45489 and 45499