What is the Greatest Common Factor of 80497 and 80512?

Greatest common factor (GCF) of 80497 and 80512 is 1.

GCF(80497,80512) = 1

We will now calculate the prime factors of 80497 and 80512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80497 and 80512.

How to find the GCF of 80497 and 80512?

We will first find the prime factorization of 80497 and 80512. After we will calculate the factors of 80497 and 80512 and find the biggest common factor number .

Step-1: Prime Factorization of 80497

Prime factors of 80497 are 101, 797. Prime factorization of 80497 in exponential form is:

80497 = 101¹ × 797¹

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 80497

List of positive integer factors of 80497 that divides 80497 without a remainder.

1, 101, 797

Step-4: Factors of 80512

List of positive integer factors of 80512 that divides 80497 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 80497 and 80512. The biggest common factor number is the GCF number.
So the greatest common factor 80497 and 80512 is 1.

Also check out the Least Common Multiple of 80497 and 80512