What is the Greatest Common Factor of 26416 and 26432?

Greatest common factor (GCF) of 26416 and 26432 is 16.

GCF(26416,26432) = 16

We will now calculate the prime factors of 26416 and 26432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26416 and 26432.

How to find the GCF of 26416 and 26432?

We will first find the prime factorization of 26416 and 26432. After we will calculate the factors of 26416 and 26432 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 26432

Prime factors of 26432 are 2, 7, 59. Prime factorization of 26432 in exponential form is:

26432 = 2⁶ × 7¹ × 59¹

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 26432

List of positive integer factors of 26432 that divides 26416 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 59, 64, 112, 118, 224, 236, 413, 448, 472, 826, 944, 1652, 1888, 3304, 3776, 6608, 13216

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26416 and 26432. The biggest common factor number is the GCF number.
So the greatest common factor 26416 and 26432 is 16.

Also check out the Least Common Multiple of 26416 and 26432