What is the Greatest Common Factor of 26344 and 26358?

Greatest common factor (GCF) of 26344 and 26358 is 2.

GCF(26344,26358) = 2

We will now calculate the prime factors of 26344 and 26358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26344 and 26358.

How to find the GCF of 26344 and 26358?

We will first find the prime factorization of 26344 and 26358. After we will calculate the factors of 26344 and 26358 and find the biggest common factor number .

Step-1: Prime Factorization of 26344

Prime factors of 26344 are 2, 37, 89. Prime factorization of 26344 in exponential form is:

26344 = 2³ × 37¹ × 89¹

Step-2: Prime Factorization of 26358

Prime factors of 26358 are 2, 3, 23, 191. Prime factorization of 26358 in exponential form is:

26358 = 2¹ × 3¹ × 23¹ × 191¹

Step-3: Factors of 26344

List of positive integer factors of 26344 that divides 26344 without a remainder.

1, 2, 4, 8, 37, 74, 89, 148, 178, 296, 356, 712, 3293, 6586, 13172

Step-4: Factors of 26358

List of positive integer factors of 26358 that divides 26344 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 191, 382, 573, 1146, 4393, 8786, 13179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26344 and 26358. The biggest common factor number is the GCF number.
So the greatest common factor 26344 and 26358 is 2.

Also check out the Least Common Multiple of 26344 and 26358