What is the Greatest Common Factor of 81277 and 81284?

Greatest common factor (GCF) of 81277 and 81284 is 7.

GCF(81277,81284) = 7

We will now calculate the prime factors of 81277 and 81284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81277 and 81284.

How to find the GCF of 81277 and 81284?

We will first find the prime factorization of 81277 and 81284. After we will calculate the factors of 81277 and 81284 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 81284

Prime factors of 81284 are 2, 7, 2903. Prime factorization of 81284 in exponential form is:

81284 = 2² × 7¹ × 2903¹

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 81284

List of positive integer factors of 81284 that divides 81277 without a remainder.

1, 2, 4, 7, 14, 28, 2903, 5806, 11612, 20321, 40642

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81277 and 81284. The biggest common factor number is the GCF number.
So the greatest common factor 81277 and 81284 is 7.

Also check out the Least Common Multiple of 81277 and 81284