What is the Greatest Common Factor of 81291 and 81298?

Greatest common factor (GCF) of 81291 and 81298 is 7.

GCF(81291,81298) = 7

We will now calculate the prime factors of 81291 and 81298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81291 and 81298.

How to find the GCF of 81291 and 81298?

We will first find the prime factorization of 81291 and 81298. After we will calculate the factors of 81291 and 81298 and find the biggest common factor number .

Step-1: Prime Factorization of 81291

Prime factors of 81291 are 3, 7, 79. Prime factorization of 81291 in exponential form is:

81291 = 3¹ × 7³ × 79¹

Step-2: Prime Factorization of 81298

Prime factors of 81298 are 2, 7, 5807. Prime factorization of 81298 in exponential form is:

81298 = 2¹ × 7¹ × 5807¹

Step-3: Factors of 81291

List of positive integer factors of 81291 that divides 81291 without a remainder.

1, 3, 7, 21, 49, 79, 147, 237, 343, 553, 1029, 1659, 3871, 11613, 27097

Step-4: Factors of 81298

List of positive integer factors of 81298 that divides 81291 without a remainder.

1, 2, 7, 14, 5807, 11614, 40649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81291 and 81298. The biggest common factor number is the GCF number.
So the greatest common factor 81291 and 81298 is 7.

Also check out the Least Common Multiple of 81291 and 81298