What is the Greatest Common Factor of 26403 and 26416?

Greatest common factor (GCF) of 26403 and 26416 is 13.

GCF(26403,26416) = 13

We will now calculate the prime factors of 26403 and 26416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26403 and 26416.

How to find the GCF of 26403 and 26416?

We will first find the prime factorization of 26403 and 26416. After we will calculate the factors of 26403 and 26416 and find the biggest common factor number .

Step-1: Prime Factorization of 26403

Prime factors of 26403 are 3, 13, 677. Prime factorization of 26403 in exponential form is:

26403 = 3¹ × 13¹ × 677¹

Step-2: Prime Factorization of 26416

Prime factors of 26416 are 2, 13, 127. Prime factorization of 26416 in exponential form is:

26416 = 2⁴ × 13¹ × 127¹

Step-3: Factors of 26403

List of positive integer factors of 26403 that divides 26403 without a remainder.

1, 3, 13, 39, 677, 2031, 8801

Step-4: Factors of 26416

List of positive integer factors of 26416 that divides 26403 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 127, 208, 254, 508, 1016, 1651, 2032, 3302, 6604, 13208

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26403 and 26416. The biggest common factor number is the GCF number.
So the greatest common factor 26403 and 26416 is 13.

Also check out the Least Common Multiple of 26403 and 26416