What is the Greatest Common Factor of 80484 and 80503?

Greatest common factor (GCF) of 80484 and 80503 is 19.

GCF(80484,80503) = 19

We will now calculate the prime factors of 80484 and 80503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80484 and 80503.

How to find the GCF of 80484 and 80503?

We will first find the prime factorization of 80484 and 80503. After we will calculate the factors of 80484 and 80503 and find the biggest common factor number .

Step-1: Prime Factorization of 80484

Prime factors of 80484 are 2, 3, 19, 353. Prime factorization of 80484 in exponential form is:

80484 = 2² × 3¹ × 19¹ × 353¹

Step-2: Prime Factorization of 80503

Prime factors of 80503 are 19, 223. Prime factorization of 80503 in exponential form is:

80503 = 19² × 223¹

Step-3: Factors of 80484

List of positive integer factors of 80484 that divides 80484 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 353, 706, 1059, 1412, 2118, 4236, 6707, 13414, 20121, 26828, 40242

Step-4: Factors of 80503

List of positive integer factors of 80503 that divides 80484 without a remainder.

1, 19, 223, 361, 4237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80484 and 80503. The biggest common factor number is the GCF number.
So the greatest common factor 80484 and 80503 is 19.

Also check out the Least Common Multiple of 80484 and 80503