What is the Greatest Common Factor of 26874 and 26892?

Greatest common factor (GCF) of 26874 and 26892 is 18.

GCF(26874,26892) = 18

We will now calculate the prime factors of 26874 and 26892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26874 and 26892.

How to find the GCF of 26874 and 26892?

We will first find the prime factorization of 26874 and 26892. After we will calculate the factors of 26874 and 26892 and find the biggest common factor number .

Step-1: Prime Factorization of 26874

Prime factors of 26874 are 2, 3, 1493. Prime factorization of 26874 in exponential form is:

26874 = 2¹ × 3² × 1493¹

Step-2: Prime Factorization of 26892

Prime factors of 26892 are 2, 3, 83. Prime factorization of 26892 in exponential form is:

26892 = 2² × 3⁴ × 83¹

Step-3: Factors of 26874

List of positive integer factors of 26874 that divides 26874 without a remainder.

1, 2, 3, 6, 9, 18, 1493, 2986, 4479, 8958, 13437

Step-4: Factors of 26892

List of positive integer factors of 26892 that divides 26874 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 83, 108, 162, 166, 249, 324, 332, 498, 747, 996, 1494, 2241, 2988, 4482, 6723, 8964, 13446

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26874 and 26892. The biggest common factor number is the GCF number.
So the greatest common factor 26874 and 26892 is 18.

Also check out the Least Common Multiple of 26874 and 26892