What is the Greatest Common Factor of 26900 and 26914?

Greatest common factor (GCF) of 26900 and 26914 is 2.

GCF(26900,26914) = 2

We will now calculate the prime factors of 26900 and 26914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26900 and 26914.

How to find the GCF of 26900 and 26914?

We will first find the prime factorization of 26900 and 26914. After we will calculate the factors of 26900 and 26914 and find the biggest common factor number .

Step-1: Prime Factorization of 26900

Prime factors of 26900 are 2, 5, 269. Prime factorization of 26900 in exponential form is:

26900 = 2² × 5² × 269¹

Step-2: Prime Factorization of 26914

Prime factors of 26914 are 2, 13457. Prime factorization of 26914 in exponential form is:

26914 = 2¹ × 13457¹

Step-3: Factors of 26900

List of positive integer factors of 26900 that divides 26900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 269, 538, 1076, 1345, 2690, 5380, 6725, 13450

Step-4: Factors of 26914

List of positive integer factors of 26914 that divides 26900 without a remainder.

1, 2, 13457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26900 and 26914. The biggest common factor number is the GCF number.
So the greatest common factor 26900 and 26914 is 2.

Also check out the Least Common Multiple of 26900 and 26914