What is the Greatest Common Factor of 26845 and 26859?

Greatest common factor (GCF) of 26845 and 26859 is 7.

GCF(26845,26859) = 7

We will now calculate the prime factors of 26845 and 26859, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26845 and 26859.

How to find the GCF of 26845 and 26859?

We will first find the prime factorization of 26845 and 26859. After we will calculate the factors of 26845 and 26859 and find the biggest common factor number .

Step-1: Prime Factorization of 26845

Prime factors of 26845 are 5, 7, 13, 59. Prime factorization of 26845 in exponential form is:

26845 = 5¹ × 7¹ × 13¹ × 59¹

Step-2: Prime Factorization of 26859

Prime factors of 26859 are 3, 7, 1279. Prime factorization of 26859 in exponential form is:

26859 = 3¹ × 7¹ × 1279¹

Step-3: Factors of 26845

List of positive integer factors of 26845 that divides 26845 without a remainder.

1, 5, 7, 13, 35, 59, 65, 91, 295, 413, 455, 767, 2065, 3835, 5369

Step-4: Factors of 26859

List of positive integer factors of 26859 that divides 26845 without a remainder.

1, 3, 7, 21, 1279, 3837, 8953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26845 and 26859. The biggest common factor number is the GCF number.
So the greatest common factor 26845 and 26859 is 7.

Also check out the Least Common Multiple of 26845 and 26859