What is the Greatest Common Factor of 80512 and 80529?

Greatest common factor (GCF) of 80512 and 80529 is 17.

GCF(80512,80529) = 17

We will now calculate the prime factors of 80512 and 80529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80512 and 80529.

How to find the GCF of 80512 and 80529?

We will first find the prime factorization of 80512 and 80529. After we will calculate the factors of 80512 and 80529 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80529

Prime factors of 80529 are 3, 17, 1579. Prime factorization of 80529 in exponential form is:

80529 = 3¹ × 17¹ × 1579¹

Step-3: Factors of 80512

List of positive integer factors of 80512 that divides 80512 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

Step-4: Factors of 80529

List of positive integer factors of 80529 that divides 80512 without a remainder.

1, 3, 17, 51, 1579, 4737, 26843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80512 and 80529. The biggest common factor number is the GCF number.
So the greatest common factor 80512 and 80529 is 17.

Also check out the Least Common Multiple of 80512 and 80529