What is the Greatest Common Factor of 26414 and 26432?

Greatest common factor (GCF) of 26414 and 26432 is 2.

GCF(26414,26432) = 2

We will now calculate the prime factors of 26414 and 26432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26414 and 26432.

How to find the GCF of 26414 and 26432?

We will first find the prime factorization of 26414 and 26432. After we will calculate the factors of 26414 and 26432 and find the biggest common factor number .

Step-1: Prime Factorization of 26414

Prime factors of 26414 are 2, 47, 281. Prime factorization of 26414 in exponential form is:

26414 = 2¹ × 47¹ × 281¹

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 26414

List of positive integer factors of 26414 that divides 26414 without a remainder.

1, 2, 47, 94, 281, 562, 13207

Step-4: Factors of 26432

List of positive integer factors of 26432 that divides 26414 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 26414 and 26432. The biggest common factor number is the GCF number.
So the greatest common factor 26414 and 26432 is 2.

Also check out the Least Common Multiple of 26414 and 26432