What is the Greatest Common Factor of 80498 and 80512?

Greatest common factor (GCF) of 80498 and 80512 is 2.

GCF(80498,80512) = 2

We will now calculate the prime factors of 80498 and 80512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80498 and 80512.

How to find the GCF of 80498 and 80512?

We will first find the prime factorization of 80498 and 80512. After we will calculate the factors of 80498 and 80512 and find the biggest common factor number .

Step-1: Prime Factorization of 80498

Prime factors of 80498 are 2, 11, 3659. Prime factorization of 80498 in exponential form is:

80498 = 2¹ × 11¹ × 3659¹

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 80498

List of positive integer factors of 80498 that divides 80498 without a remainder.

1, 2, 11, 22, 3659, 7318, 40249

Step-4: Factors of 80512

List of positive integer factors of 80512 that divides 80498 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 80498 and 80512. The biggest common factor number is the GCF number.
So the greatest common factor 80498 and 80512 is 2.

Also check out the Least Common Multiple of 80498 and 80512