What is the Greatest Common Factor of 45498 and 45503?

Greatest common factor (GCF) of 45498 and 45503 is 1.

GCF(45498,45503) = 1

We will now calculate the prime factors of 45498 and 45503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45498 and 45503.

How to find the GCF of 45498 and 45503?

We will first find the prime factorization of 45498 and 45503. After we will calculate the factors of 45498 and 45503 and find the biggest common factor number .

Step-1: Prime Factorization of 45498

Prime factors of 45498 are 2, 3, 7583. Prime factorization of 45498 in exponential form is:

45498 = 2¹ × 3¹ × 7583¹

Step-2: Prime Factorization of 45503

Prime factors of 45503 are 45503. Prime factorization of 45503 in exponential form is:

45503 = 45503¹

Step-3: Factors of 45498

List of positive integer factors of 45498 that divides 45498 without a remainder.

1, 2, 3, 6, 7583, 15166, 22749

Step-4: Factors of 45503

List of positive integer factors of 45503 that divides 45498 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45498 and 45503. The biggest common factor number is the GCF number.
So the greatest common factor 45498 and 45503 is 1.

Also check out the Least Common Multiple of 45498 and 45503