What is the Greatest Common Factor of 81277 and 81291?

Greatest common factor (GCF) of 81277 and 81291 is 7.

GCF(81277,81291) = 7

We will now calculate the prime factors of 81277 and 81291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81277 and 81291.

How to find the GCF of 81277 and 81291?

We will first find the prime factorization of 81277 and 81291. After we will calculate the factors of 81277 and 81291 and find the biggest common factor number .

Step-1: Prime Factorization of 81277

Prime factors of 81277 are 7, 17, 683. Prime factorization of 81277 in exponential form is:

81277 = 7¹ × 17¹ × 683¹

Step-2: 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-3: Factors of 81277

List of positive integer factors of 81277 that divides 81277 without a remainder.

1, 7, 17, 119, 683, 4781, 11611

Step-4: Factors of 81291

List of positive integer factors of 81291 that divides 81277 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81277 and 81291. The biggest common factor number is the GCF number.
So the greatest common factor 81277 and 81291 is 7.

Also check out the Least Common Multiple of 81277 and 81291