What is the Greatest Common Factor of 23426 and 23434?

Greatest common factor (GCF) of 23426 and 23434 is 2.

GCF(23426,23434) = 2

We will now calculate the prime factors of 23426 and 23434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23426 and 23434.

How to find the GCF of 23426 and 23434?

We will first find the prime factorization of 23426 and 23434. After we will calculate the factors of 23426 and 23434 and find the biggest common factor number .

Step-1: Prime Factorization of 23426

Prime factors of 23426 are 2, 13, 17, 53. Prime factorization of 23426 in exponential form is:

23426 = 2¹ × 13¹ × 17¹ × 53¹

Step-2: Prime Factorization of 23434

Prime factors of 23434 are 2, 11717. Prime factorization of 23434 in exponential form is:

23434 = 2¹ × 11717¹

Step-3: Factors of 23426

List of positive integer factors of 23426 that divides 23426 without a remainder.

1, 2, 13, 17, 26, 34, 53, 106, 221, 442, 689, 901, 1378, 1802, 11713

Step-4: Factors of 23434

List of positive integer factors of 23434 that divides 23426 without a remainder.

1, 2, 11717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23426 and 23434. The biggest common factor number is the GCF number.
So the greatest common factor 23426 and 23434 is 2.

Also check out the Least Common Multiple of 23426 and 23434