What is the Greatest Common Factor of 26674 and 26688?

Greatest common factor (GCF) of 26674 and 26688 is 2.

GCF(26674,26688) = 2

We will now calculate the prime factors of 26674 and 26688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26674 and 26688.

How to find the GCF of 26674 and 26688?

We will first find the prime factorization of 26674 and 26688. After we will calculate the factors of 26674 and 26688 and find the biggest common factor number .

Step-1: Prime Factorization of 26674

Prime factors of 26674 are 2, 13337. Prime factorization of 26674 in exponential form is:

26674 = 2¹ × 13337¹

Step-2: Prime Factorization of 26688

Prime factors of 26688 are 2, 3, 139. Prime factorization of 26688 in exponential form is:

26688 = 2⁶ × 3¹ × 139¹

Step-3: Factors of 26674

List of positive integer factors of 26674 that divides 26674 without a remainder.

1, 2, 13337

Step-4: Factors of 26688

List of positive integer factors of 26688 that divides 26674 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 139, 192, 278, 417, 556, 834, 1112, 1668, 2224, 3336, 4448, 6672, 8896, 13344

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26674 and 26688. The biggest common factor number is the GCF number.
So the greatest common factor 26674 and 26688 is 2.

Also check out the Least Common Multiple of 26674 and 26688