What is the Greatest Common Factor of 26845 and 26865?

Greatest common factor (GCF) of 26845 and 26865 is 5.

GCF(26845,26865) = 5

We will now calculate the prime factors of 26845 and 26865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26845 and 26865.

How to find the GCF of 26845 and 26865?

We will first find the prime factorization of 26845 and 26865. After we will calculate the factors of 26845 and 26865 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 26865

Prime factors of 26865 are 3, 5, 199. Prime factorization of 26865 in exponential form is:

26865 = 3³ × 5¹ × 199¹

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 26865

List of positive integer factors of 26865 that divides 26845 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 199, 597, 995, 1791, 2985, 5373, 8955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26845 and 26865. The biggest common factor number is the GCF number.
So the greatest common factor 26845 and 26865 is 5.

Also check out the Least Common Multiple of 26845 and 26865