What is the Greatest Common Factor of 26768 and 26782?

Greatest common factor (GCF) of 26768 and 26782 is 14.

GCF(26768,26782) = 14

We will now calculate the prime factors of 26768 and 26782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26768 and 26782.

How to find the GCF of 26768 and 26782?

We will first find the prime factorization of 26768 and 26782. After we will calculate the factors of 26768 and 26782 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26782

Prime factors of 26782 are 2, 7, 1913. Prime factorization of 26782 in exponential form is:

26782 = 2¹ × 7¹ × 1913¹

Step-3: Factors of 26768

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

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

Step-4: Factors of 26782

List of positive integer factors of 26782 that divides 26768 without a remainder.

1, 2, 7, 14, 1913, 3826, 13391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26768 and 26782. The biggest common factor number is the GCF number.
So the greatest common factor 26768 and 26782 is 14.

Also check out the Least Common Multiple of 26768 and 26782