What is the Greatest Common Factor of 26234 and 26242?

Greatest common factor (GCF) of 26234 and 26242 is 2.

GCF(26234,26242) = 2

We will now calculate the prime factors of 26234 and 26242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26234 and 26242.

How to find the GCF of 26234 and 26242?

We will first find the prime factorization of 26234 and 26242. After we will calculate the factors of 26234 and 26242 and find the biggest common factor number .

Step-1: Prime Factorization of 26234

Prime factors of 26234 are 2, 13, 1009. Prime factorization of 26234 in exponential form is:

26234 = 2¹ × 13¹ × 1009¹

Step-2: Prime Factorization of 26242

Prime factors of 26242 are 2, 13121. Prime factorization of 26242 in exponential form is:

26242 = 2¹ × 13121¹

Step-3: Factors of 26234

List of positive integer factors of 26234 that divides 26234 without a remainder.

1, 2, 13, 26, 1009, 2018, 13117

Step-4: Factors of 26242

List of positive integer factors of 26242 that divides 26234 without a remainder.

1, 2, 13121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26234 and 26242. The biggest common factor number is the GCF number.
So the greatest common factor 26234 and 26242 is 2.

Also check out the Least Common Multiple of 26234 and 26242