What is the Greatest Common Factor of 26414 and 26422?

Greatest common factor (GCF) of 26414 and 26422 is 2.

GCF(26414,26422) = 2

We will now calculate the prime factors of 26414 and 26422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26414 and 26422.

How to find the GCF of 26414 and 26422?

We will first find the prime factorization of 26414 and 26422. After we will calculate the factors of 26414 and 26422 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 26422

Prime factors of 26422 are 2, 11, 1201. Prime factorization of 26422 in exponential form is:

26422 = 2¹ × 11¹ × 1201¹

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 26422

List of positive integer factors of 26422 that divides 26414 without a remainder.

1, 2, 11, 22, 1201, 2402, 13211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26414 and 26422. The biggest common factor number is the GCF number.
So the greatest common factor 26414 and 26422 is 2.

Also check out the Least Common Multiple of 26414 and 26422