What is the Greatest Common Factor of 26802 and 26806?

Greatest common factor (GCF) of 26802 and 26806 is 2.

GCF(26802,26806) = 2

We will now calculate the prime factors of 26802 and 26806, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26802 and 26806.

How to find the GCF of 26802 and 26806?

We will first find the prime factorization of 26802 and 26806. After we will calculate the factors of 26802 and 26806 and find the biggest common factor number .

Step-1: Prime Factorization of 26802

Prime factors of 26802 are 2, 3, 1489. Prime factorization of 26802 in exponential form is:

26802 = 2¹ × 3² × 1489¹

Step-2: Prime Factorization of 26806

Prime factors of 26806 are 2, 13, 1031. Prime factorization of 26806 in exponential form is:

26806 = 2¹ × 13¹ × 1031¹

Step-3: Factors of 26802

List of positive integer factors of 26802 that divides 26802 without a remainder.

1, 2, 3, 6, 9, 18, 1489, 2978, 4467, 8934, 13401

Step-4: Factors of 26806

List of positive integer factors of 26806 that divides 26802 without a remainder.

1, 2, 13, 26, 1031, 2062, 13403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26802 and 26806. The biggest common factor number is the GCF number.
So the greatest common factor 26802 and 26806 is 2.

Also check out the Least Common Multiple of 26802 and 26806