What is the Greatest Common Factor of 80496 and 80509?

Greatest common factor (GCF) of 80496 and 80509 is 13.

GCF(80496,80509) = 13

We will now calculate the prime factors of 80496 and 80509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80496 and 80509.

How to find the GCF of 80496 and 80509?

We will first find the prime factorization of 80496 and 80509. After we will calculate the factors of 80496 and 80509 and find the biggest common factor number .

Step-1: Prime Factorization of 80496

Prime factors of 80496 are 2, 3, 13, 43. Prime factorization of 80496 in exponential form is:

80496 = 2⁴ × 3² × 13¹ × 43¹

Step-2: Prime Factorization of 80509

Prime factors of 80509 are 11, 13, 563. Prime factorization of 80509 in exponential form is:

80509 = 11¹ × 13¹ × 563¹

Step-3: Factors of 80496

List of positive integer factors of 80496 that divides 80496 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 43, 48, 52, 72, 78, 86, 104, 117, 129, 144, 156, 172, 208, 234, 258, 312, 344, 387, 468, 516, 559, 624, 688, 774, 936, 1032, 1118, 1548, 1677, 1872, 2064, 2236, 3096, 3354, 4472, 5031, 6192, 6708, 8944, 10062, 13416, 20124, 26832, 40248

Step-4: Factors of 80509

List of positive integer factors of 80509 that divides 80496 without a remainder.

1, 11, 13, 143, 563, 6193, 7319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80496 and 80509. The biggest common factor number is the GCF number.
So the greatest common factor 80496 and 80509 is 13.

Also check out the Least Common Multiple of 80496 and 80509