What is the Greatest Common Factor of 26887 and 26901?

Greatest common factor (GCF) of 26887 and 26901 is 7.

GCF(26887,26901) = 7

We will now calculate the prime factors of 26887 and 26901, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26887 and 26901.

How to find the GCF of 26887 and 26901?

We will first find the prime factorization of 26887 and 26901. After we will calculate the factors of 26887 and 26901 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26901

Prime factors of 26901 are 3, 7, 61. Prime factorization of 26901 in exponential form is:

26901 = 3² × 7² × 61¹

Step-3: Factors of 26887

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

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

Step-4: Factors of 26901

List of positive integer factors of 26901 that divides 26887 without a remainder.

1, 3, 7, 9, 21, 49, 61, 63, 147, 183, 427, 441, 549, 1281, 2989, 3843, 8967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26887 and 26901. The biggest common factor number is the GCF number.
So the greatest common factor 26887 and 26901 is 7.

Also check out the Least Common Multiple of 26887 and 26901