What is the Greatest Common Factor of 26901 and 26919?

Greatest common factor (GCF) of 26901 and 26919 is 9.

GCF(26901,26919) = 9

We will now calculate the prime factors of 26901 and 26919, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26901 and 26919.

How to find the GCF of 26901 and 26919?

We will first find the prime factorization of 26901 and 26919. After we will calculate the factors of 26901 and 26919 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26919

Prime factors of 26919 are 3, 997. Prime factorization of 26919 in exponential form is:

26919 = 3³ × 997¹

Step-3: Factors of 26901

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

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

Step-4: Factors of 26919

List of positive integer factors of 26919 that divides 26901 without a remainder.

1, 3, 9, 27, 997, 2991, 8973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26901 and 26919. The biggest common factor number is the GCF number.
So the greatest common factor 26901 and 26919 is 9.

Also check out the Least Common Multiple of 26901 and 26919