What is the Greatest Common Factor of 26834 and 26847?

Greatest common factor (GCF) of 26834 and 26847 is 1.

GCF(26834,26847) = 1

We will now calculate the prime factors of 26834 and 26847, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26834 and 26847.

How to find the GCF of 26834 and 26847?

We will first find the prime factorization of 26834 and 26847. After we will calculate the factors of 26834 and 26847 and find the biggest common factor number .

Step-1: Prime Factorization of 26834

Prime factors of 26834 are 2, 13417. Prime factorization of 26834 in exponential form is:

26834 = 2¹ × 13417¹

Step-2: Prime Factorization of 26847

Prime factors of 26847 are 3, 19, 157. Prime factorization of 26847 in exponential form is:

26847 = 3² × 19¹ × 157¹

Step-3: Factors of 26834

List of positive integer factors of 26834 that divides 26834 without a remainder.

1, 2, 13417

Step-4: Factors of 26847

List of positive integer factors of 26847 that divides 26834 without a remainder.

1, 3, 9, 19, 57, 157, 171, 471, 1413, 2983, 8949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26834 and 26847. The biggest common factor number is the GCF number.
So the greatest common factor 26834 and 26847 is 1.

Also check out the Least Common Multiple of 26834 and 26847