What is the Greatest Common Factor of 26103 and 26109?

Greatest common factor (GCF) of 26103 and 26109 is 3.

GCF(26103,26109) = 3

We will now calculate the prime factors of 26103 and 26109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26103 and 26109.

How to find the GCF of 26103 and 26109?

We will first find the prime factorization of 26103 and 26109. After we will calculate the factors of 26103 and 26109 and find the biggest common factor number .

Step-1: Prime Factorization of 26103

Prime factors of 26103 are 3, 7, 11, 113. Prime factorization of 26103 in exponential form is:

26103 = 3¹ × 7¹ × 11¹ × 113¹

Step-2: Prime Factorization of 26109

Prime factors of 26109 are 3, 967. Prime factorization of 26109 in exponential form is:

26109 = 3³ × 967¹

Step-3: Factors of 26103

List of positive integer factors of 26103 that divides 26103 without a remainder.

1, 3, 7, 11, 21, 33, 77, 113, 231, 339, 791, 1243, 2373, 3729, 8701

Step-4: Factors of 26109

List of positive integer factors of 26109 that divides 26103 without a remainder.

1, 3, 9, 27, 967, 2901, 8703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26103 and 26109. The biggest common factor number is the GCF number.
So the greatest common factor 26103 and 26109 is 3.

Also check out the Least Common Multiple of 26103 and 26109