What is the Greatest Common Factor of 26858 and 26862?

Greatest common factor (GCF) of 26858 and 26862 is 2.

GCF(26858,26862) = 2

We will now calculate the prime factors of 26858 and 26862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26858 and 26862.

How to find the GCF of 26858 and 26862?

We will first find the prime factorization of 26858 and 26862. After we will calculate the factors of 26858 and 26862 and find the biggest common factor number .

Step-1: 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-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 26858

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

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

Step-4: Factors of 26862

List of positive integer factors of 26862 that divides 26858 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 26858 and 26862. The biggest common factor number is the GCF number.
So the greatest common factor 26858 and 26862 is 2.

Also check out the Least Common Multiple of 26858 and 26862