What is the Greatest Common Factor of 26754 and 26768?

Greatest common factor (GCF) of 26754 and 26768 is 14.

GCF(26754,26768) = 14

We will now calculate the prime factors of 26754 and 26768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26754 and 26768.

How to find the GCF of 26754 and 26768?

We will first find the prime factorization of 26754 and 26768. After we will calculate the factors of 26754 and 26768 and find the biggest common factor number .

Step-1: Prime Factorization of 26754

Prime factors of 26754 are 2, 3, 7, 13. Prime factorization of 26754 in exponential form is:

26754 = 2¹ × 3¹ × 7³ × 13¹

Step-2: Prime Factorization of 26768

Prime factors of 26768 are 2, 7, 239. Prime factorization of 26768 in exponential form is:

26768 = 2⁴ × 7¹ × 239¹

Step-3: Factors of 26754

List of positive integer factors of 26754 that divides 26754 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 49, 78, 91, 98, 147, 182, 273, 294, 343, 546, 637, 686, 1029, 1274, 1911, 2058, 3822, 4459, 8918, 13377

Step-4: Factors of 26768

List of positive integer factors of 26768 that divides 26754 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 239, 478, 956, 1673, 1912, 3346, 3824, 6692, 13384

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26754 and 26768. The biggest common factor number is the GCF number.
So the greatest common factor 26754 and 26768 is 14.

Also check out the Least Common Multiple of 26754 and 26768