What is the Greatest Common Factor of 20484 and 20503?

Greatest common factor (GCF) of 20484 and 20503 is 1.

GCF(20484,20503) = 1

We will now calculate the prime factors of 20484 and 20503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20484 and 20503.

How to find the GCF of 20484 and 20503?

We will first find the prime factorization of 20484 and 20503. After we will calculate the factors of 20484 and 20503 and find the biggest common factor number .

Step-1: Prime Factorization of 20484

Prime factors of 20484 are 2, 3, 569. Prime factorization of 20484 in exponential form is:

20484 = 2² × 3² × 569¹

Step-2: Prime Factorization of 20503

Prime factors of 20503 are 7, 29, 101. Prime factorization of 20503 in exponential form is:

20503 = 7¹ × 29¹ × 101¹

Step-3: Factors of 20484

List of positive integer factors of 20484 that divides 20484 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 569, 1138, 1707, 2276, 3414, 5121, 6828, 10242

Step-4: Factors of 20503

List of positive integer factors of 20503 that divides 20484 without a remainder.

1, 7, 29, 101, 203, 707, 2929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20484 and 20503. The biggest common factor number is the GCF number.
So the greatest common factor 20484 and 20503 is 1.

Also check out the Least Common Multiple of 20484 and 20503