What is the Greatest Common Factor of 26877 and 26894?

Greatest common factor (GCF) of 26877 and 26894 is 17.

GCF(26877,26894) = 17

We will now calculate the prime factors of 26877 and 26894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26877 and 26894.

How to find the GCF of 26877 and 26894?

We will first find the prime factorization of 26877 and 26894. After we will calculate the factors of 26877 and 26894 and find the biggest common factor number .

Step-1: Prime Factorization of 26877

Prime factors of 26877 are 3, 17, 31. Prime factorization of 26877 in exponential form is:

26877 = 3¹ × 17² × 31¹

Step-2: Prime Factorization of 26894

Prime factors of 26894 are 2, 7, 17, 113. Prime factorization of 26894 in exponential form is:

26894 = 2¹ × 7¹ × 17¹ × 113¹

Step-3: Factors of 26877

List of positive integer factors of 26877 that divides 26877 without a remainder.

1, 3, 17, 31, 51, 93, 289, 527, 867, 1581, 8959

Step-4: Factors of 26894

List of positive integer factors of 26894 that divides 26877 without a remainder.

1, 2, 7, 14, 17, 34, 113, 119, 226, 238, 791, 1582, 1921, 3842, 13447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26877 and 26894. The biggest common factor number is the GCF number.
So the greatest common factor 26877 and 26894 is 17.

Also check out the Least Common Multiple of 26877 and 26894