What is the Greatest Common Factor of 26842 and 26858?

Greatest common factor (GCF) of 26842 and 26858 is 2.

GCF(26842,26858) = 2

We will now calculate the prime factors of 26842 and 26858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26842 and 26858.

How to find the GCF of 26842 and 26858?

We will first find the prime factorization of 26842 and 26858. After we will calculate the factors of 26842 and 26858 and find the biggest common factor number .

Step-1: Prime Factorization of 26842

Prime factors of 26842 are 2, 13421. Prime factorization of 26842 in exponential form is:

26842 = 2¹ × 13421¹

Step-2: Prime Factorization of 26858

Prime factors of 26858 are 2, 13, 1033. Prime factorization of 26858 in exponential form is:

26858 = 2¹ × 13¹ × 1033¹

Step-3: Factors of 26842

List of positive integer factors of 26842 that divides 26842 without a remainder.

1, 2, 13421

Step-4: Factors of 26858

List of positive integer factors of 26858 that divides 26842 without a remainder.

1, 2, 13, 26, 1033, 2066, 13429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26842 and 26858. The biggest common factor number is the GCF number.
So the greatest common factor 26842 and 26858 is 2.

Also check out the Least Common Multiple of 26842 and 26858