What is the Greatest Common Factor of 26873 and 26887?

Greatest common factor (GCF) of 26873 and 26887 is 7.

GCF(26873,26887) = 7

We will now calculate the prime factors of 26873 and 26887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26873 and 26887.

How to find the GCF of 26873 and 26887?

We will first find the prime factorization of 26873 and 26887. After we will calculate the factors of 26873 and 26887 and find the biggest common factor number .

Step-1: Prime Factorization of 26873

Prime factors of 26873 are 7, 11, 349. Prime factorization of 26873 in exponential form is:

26873 = 7¹ × 11¹ × 349¹

Step-2: Prime Factorization of 26887

Prime factors of 26887 are 7, 23, 167. Prime factorization of 26887 in exponential form is:

26887 = 7¹ × 23¹ × 167¹

Step-3: Factors of 26873

List of positive integer factors of 26873 that divides 26873 without a remainder.

1, 7, 11, 77, 349, 2443, 3839

Step-4: Factors of 26887

List of positive integer factors of 26887 that divides 26873 without a remainder.

1, 7, 23, 161, 167, 1169, 3841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26873 and 26887. The biggest common factor number is the GCF number.
So the greatest common factor 26873 and 26887 is 7.

Also check out the Least Common Multiple of 26873 and 26887