What is the Greatest Common Factor of 26432 and 26438?

Greatest common factor (GCF) of 26432 and 26438 is 2.

GCF(26432,26438) = 2

We will now calculate the prime factors of 26432 and 26438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26432 and 26438.

How to find the GCF of 26432 and 26438?

We will first find the prime factorization of 26432 and 26438. After we will calculate the factors of 26432 and 26438 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26438

Prime factors of 26438 are 2, 13219. Prime factorization of 26438 in exponential form is:

26438 = 2¹ × 13219¹

Step-3: Factors of 26432

List of positive integer factors of 26432 that divides 26432 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

Step-4: Factors of 26438

List of positive integer factors of 26438 that divides 26432 without a remainder.

1, 2, 13219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26432 and 26438. The biggest common factor number is the GCF number.
So the greatest common factor 26432 and 26438 is 2.

Also check out the Least Common Multiple of 26432 and 26438