What is the Greatest Common Factor of 26306 and 26320?

Greatest common factor (GCF) of 26306 and 26320 is 14.

GCF(26306,26320) = 14

We will now calculate the prime factors of 26306 and 26320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26306 and 26320.

How to find the GCF of 26306 and 26320?

We will first find the prime factorization of 26306 and 26320. After we will calculate the factors of 26306 and 26320 and find the biggest common factor number .

Step-1: Prime Factorization of 26306

Prime factors of 26306 are 2, 7, 1879. Prime factorization of 26306 in exponential form is:

26306 = 2¹ × 7¹ × 1879¹

Step-2: Prime Factorization of 26320

Prime factors of 26320 are 2, 5, 7, 47. Prime factorization of 26320 in exponential form is:

26320 = 2⁴ × 5¹ × 7¹ × 47¹

Step-3: Factors of 26306

List of positive integer factors of 26306 that divides 26306 without a remainder.

1, 2, 7, 14, 1879, 3758, 13153

Step-4: Factors of 26320

List of positive integer factors of 26320 that divides 26306 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 47, 56, 70, 80, 94, 112, 140, 188, 235, 280, 329, 376, 470, 560, 658, 752, 940, 1316, 1645, 1880, 2632, 3290, 3760, 5264, 6580, 13160

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26306 and 26320. The biggest common factor number is the GCF number.
So the greatest common factor 26306 and 26320 is 14.

Also check out the Least Common Multiple of 26306 and 26320