What is the Greatest Common Factor of 80503 and 80522?

Greatest common factor (GCF) of 80503 and 80522 is 19.

GCF(80503,80522) = 19

We will now calculate the prime factors of 80503 and 80522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80503 and 80522.

How to find the GCF of 80503 and 80522?

We will first find the prime factorization of 80503 and 80522. After we will calculate the factors of 80503 and 80522 and find the biggest common factor number .

Step-1: Prime Factorization of 80503

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

80503 = 19² × 223¹

Step-2: Prime Factorization of 80522

Prime factors of 80522 are 2, 13, 19, 163. Prime factorization of 80522 in exponential form is:

80522 = 2¹ × 13¹ × 19¹ × 163¹

Step-3: Factors of 80503

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

1, 19, 223, 361, 4237

Step-4: Factors of 80522

List of positive integer factors of 80522 that divides 80503 without a remainder.

1, 2, 13, 19, 26, 38, 163, 247, 326, 494, 2119, 3097, 4238, 6194, 40261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80503 and 80522. The biggest common factor number is the GCF number.
So the greatest common factor 80503 and 80522 is 19.

Also check out the Least Common Multiple of 80503 and 80522