What is the Greatest Common Factor of 26416 and 26434?

Greatest common factor (GCF) of 26416 and 26434 is 2.

GCF(26416,26434) = 2

We will now calculate the prime factors of 26416 and 26434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26416 and 26434.

How to find the GCF of 26416 and 26434?

We will first find the prime factorization of 26416 and 26434. After we will calculate the factors of 26416 and 26434 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 26434

Prime factors of 26434 are 2, 13217. Prime factorization of 26434 in exponential form is:

26434 = 2¹ × 13217¹

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 26434

List of positive integer factors of 26434 that divides 26416 without a remainder.

1, 2, 13217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26416 and 26434. The biggest common factor number is the GCF number.
So the greatest common factor 26416 and 26434 is 2.

Also check out the Least Common Multiple of 26416 and 26434