What is the Greatest Common Factor of 26416 and 26420?

Greatest common factor (GCF) of 26416 and 26420 is 4.

GCF(26416,26420) = 4

We will now calculate the prime factors of 26416 and 26420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26416 and 26420.

How to find the GCF of 26416 and 26420?

We will first find the prime factorization of 26416 and 26420. After we will calculate the factors of 26416 and 26420 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26420

Prime factors of 26420 are 2, 5, 1321. Prime factorization of 26420 in exponential form is:

26420 = 2² × 5¹ × 1321¹

Step-3: Factors of 26416

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

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

Step-4: Factors of 26420

List of positive integer factors of 26420 that divides 26416 without a remainder.

1, 2, 4, 5, 10, 20, 1321, 2642, 5284, 6605, 13210

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26416 and 26420. The biggest common factor number is the GCF number.
So the greatest common factor 26416 and 26420 is 4.

Also check out the Least Common Multiple of 26416 and 26420