What is the Greatest Common Factor of 80508 and 80512?

Greatest common factor (GCF) of 80508 and 80512 is 4.

GCF(80508,80512) = 4

We will now calculate the prime factors of 80508 and 80512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80508 and 80512.

How to find the GCF of 80508 and 80512?

We will first find the prime factorization of 80508 and 80512. After we will calculate the factors of 80508 and 80512 and find the biggest common factor number .

Step-1: Prime Factorization of 80508

Prime factors of 80508 are 2, 3, 6709. Prime factorization of 80508 in exponential form is:

80508 = 2² × 3¹ × 6709¹

Step-2: Prime Factorization of 80512

Prime factors of 80512 are 2, 17, 37. Prime factorization of 80512 in exponential form is:

80512 = 2⁷ × 17¹ × 37¹

Step-3: Factors of 80508

List of positive integer factors of 80508 that divides 80508 without a remainder.

1, 2, 3, 4, 6, 12, 6709, 13418, 20127, 26836, 40254

Step-4: Factors of 80512

List of positive integer factors of 80512 that divides 80508 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 37, 64, 68, 74, 128, 136, 148, 272, 296, 544, 592, 629, 1088, 1184, 1258, 2176, 2368, 2516, 4736, 5032, 10064, 20128, 40256

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80508 and 80512. The biggest common factor number is the GCF number.
So the greatest common factor 80508 and 80512 is 4.

Also check out the Least Common Multiple of 80508 and 80512