What is the Greatest Common Factor of 81356 and 81367?

Greatest common factor (GCF) of 81356 and 81367 is 11.

GCF(81356,81367) = 11

We will now calculate the prime factors of 81356 and 81367, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81356 and 81367.

How to find the GCF of 81356 and 81367?

We will first find the prime factorization of 81356 and 81367. After we will calculate the factors of 81356 and 81367 and find the biggest common factor number .

Step-1: Prime Factorization of 81356

Prime factors of 81356 are 2, 11, 43. Prime factorization of 81356 in exponential form is:

81356 = 2² × 11¹ × 43²

Step-2: Prime Factorization of 81367

Prime factors of 81367 are 11, 13, 569. Prime factorization of 81367 in exponential form is:

81367 = 11¹ × 13¹ × 569¹

Step-3: Factors of 81356

List of positive integer factors of 81356 that divides 81356 without a remainder.

1, 2, 4, 11, 22, 43, 44, 86, 172, 473, 946, 1849, 1892, 3698, 7396, 20339, 40678

Step-4: Factors of 81367

List of positive integer factors of 81367 that divides 81356 without a remainder.

1, 11, 13, 143, 569, 6259, 7397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81356 and 81367. The biggest common factor number is the GCF number.
So the greatest common factor 81356 and 81367 is 11.

Also check out the Least Common Multiple of 81356 and 81367