What is the Greatest Common Factor of 26770 and 26782?

Greatest common factor (GCF) of 26770 and 26782 is 2.

GCF(26770,26782) = 2

We will now calculate the prime factors of 26770 and 26782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26770 and 26782.

How to find the GCF of 26770 and 26782?

We will first find the prime factorization of 26770 and 26782. After we will calculate the factors of 26770 and 26782 and find the biggest common factor number .

Step-1: Prime Factorization of 26770

Prime factors of 26770 are 2, 5, 2677. Prime factorization of 26770 in exponential form is:

26770 = 2¹ × 5¹ × 2677¹

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 26770

List of positive integer factors of 26770 that divides 26770 without a remainder.

1, 2, 5, 10, 2677, 5354, 13385

Step-4: Factors of 26782

List of positive integer factors of 26782 that divides 26770 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26770 and 26782. The biggest common factor number is the GCF number.
So the greatest common factor 26770 and 26782 is 2.

Also check out the Least Common Multiple of 26770 and 26782