What is the Greatest Common Factor of 80480 and 80496?

Greatest common factor (GCF) of 80480 and 80496 is 16.

GCF(80480,80496) = 16

We will now calculate the prime factors of 80480 and 80496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80480 and 80496.

How to find the GCF of 80480 and 80496?

We will first find the prime factorization of 80480 and 80496. After we will calculate the factors of 80480 and 80496 and find the biggest common factor number .

Step-1: Prime Factorization of 80480

Prime factors of 80480 are 2, 5, 503. Prime factorization of 80480 in exponential form is:

80480 = 2⁵ × 5¹ × 503¹

Step-2: 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-3: Factors of 80480

List of positive integer factors of 80480 that divides 80480 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 503, 1006, 2012, 2515, 4024, 5030, 8048, 10060, 16096, 20120, 40240

Step-4: Factors of 80496

List of positive integer factors of 80496 that divides 80480 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80480 and 80496. The biggest common factor number is the GCF number.
So the greatest common factor 80480 and 80496 is 16.

Also check out the Least Common Multiple of 80480 and 80496