What is the Greatest Common Factor of 26854 and 26862?

Greatest common factor (GCF) of 26854 and 26862 is 2.

GCF(26854,26862) = 2

We will now calculate the prime factors of 26854 and 26862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26854 and 26862.

How to find the GCF of 26854 and 26862?

We will first find the prime factorization of 26854 and 26862. After we will calculate the factors of 26854 and 26862 and find the biggest common factor number .

Step-1: Prime Factorization of 26854

Prime factors of 26854 are 2, 29, 463. Prime factorization of 26854 in exponential form is:

26854 = 2¹ × 29¹ × 463¹

Step-2: Prime Factorization of 26862

Prime factors of 26862 are 2, 3, 11, 37. Prime factorization of 26862 in exponential form is:

26862 = 2¹ × 3¹ × 11² × 37¹

Step-3: Factors of 26854

List of positive integer factors of 26854 that divides 26854 without a remainder.

1, 2, 29, 58, 463, 926, 13427

Step-4: Factors of 26862

List of positive integer factors of 26862 that divides 26854 without a remainder.

1, 2, 3, 6, 11, 22, 33, 37, 66, 74, 111, 121, 222, 242, 363, 407, 726, 814, 1221, 2442, 4477, 8954, 13431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26854 and 26862. The biggest common factor number is the GCF number.
So the greatest common factor 26854 and 26862 is 2.

Also check out the Least Common Multiple of 26854 and 26862