What is the Greatest Common Factor of 26344 and 26362?

Greatest common factor (GCF) of 26344 and 26362 is 2.

GCF(26344,26362) = 2

We will now calculate the prime factors of 26344 and 26362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26344 and 26362.

How to find the GCF of 26344 and 26362?

We will first find the prime factorization of 26344 and 26362. After we will calculate the factors of 26344 and 26362 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 26362

Prime factors of 26362 are 2, 7, 269. Prime factorization of 26362 in exponential form is:

26362 = 2¹ × 7² × 269¹

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 26362

List of positive integer factors of 26362 that divides 26344 without a remainder.

1, 2, 7, 14, 49, 98, 269, 538, 1883, 3766, 13181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26344 and 26362. The biggest common factor number is the GCF number.
So the greatest common factor 26344 and 26362 is 2.

Also check out the Least Common Multiple of 26344 and 26362