What is the Greatest Common Factor of 26414 and 26428?

Greatest common factor (GCF) of 26414 and 26428 is 2.

GCF(26414,26428) = 2

We will now calculate the prime factors of 26414 and 26428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26414 and 26428.

How to find the GCF of 26414 and 26428?

We will first find the prime factorization of 26414 and 26428. After we will calculate the factors of 26414 and 26428 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 26428

Prime factors of 26428 are 2, 6607. Prime factorization of 26428 in exponential form is:

26428 = 2² × 6607¹

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 26428

List of positive integer factors of 26428 that divides 26414 without a remainder.

1, 2, 4, 6607, 13214

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26414 and 26428. The biggest common factor number is the GCF number.
So the greatest common factor 26414 and 26428 is 2.

Also check out the Least Common Multiple of 26414 and 26428