What is the Greatest Common Factor of 81496 and 81508?

Greatest common factor (GCF) of 81496 and 81508 is 4.

GCF(81496,81508) = 4

We will now calculate the prime factors of 81496 and 81508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81496 and 81508.

How to find the GCF of 81496 and 81508?

We will first find the prime factorization of 81496 and 81508. After we will calculate the factors of 81496 and 81508 and find the biggest common factor number .

Step-1: Prime Factorization of 81496

Prime factors of 81496 are 2, 61, 167. Prime factorization of 81496 in exponential form is:

81496 = 2³ × 61¹ × 167¹

Step-2: Prime Factorization of 81508

Prime factors of 81508 are 2, 7, 41, 71. Prime factorization of 81508 in exponential form is:

81508 = 2² × 7¹ × 41¹ × 71¹

Step-3: Factors of 81496

List of positive integer factors of 81496 that divides 81496 without a remainder.

1, 2, 4, 8, 61, 122, 167, 244, 334, 488, 668, 1336, 10187, 20374, 40748

Step-4: Factors of 81508

List of positive integer factors of 81508 that divides 81496 without a remainder.

1, 2, 4, 7, 14, 28, 41, 71, 82, 142, 164, 284, 287, 497, 574, 994, 1148, 1988, 2911, 5822, 11644, 20377, 40754

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81496 and 81508. The biggest common factor number is the GCF number.
So the greatest common factor 81496 and 81508 is 4.

Also check out the Least Common Multiple of 81496 and 81508