What is the Greatest Common Factor of 26239 and 26258?

Greatest common factor (GCF) of 26239 and 26258 is 19.

GCF(26239,26258) = 19

We will now calculate the prime factors of 26239 and 26258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26239 and 26258.

How to find the GCF of 26239 and 26258?

We will first find the prime factorization of 26239 and 26258. After we will calculate the factors of 26239 and 26258 and find the biggest common factor number .

Step-1: Prime Factorization of 26239

Prime factors of 26239 are 19, 1381. Prime factorization of 26239 in exponential form is:

26239 = 19¹ × 1381¹

Step-2: Prime Factorization of 26258

Prime factors of 26258 are 2, 19, 691. Prime factorization of 26258 in exponential form is:

26258 = 2¹ × 19¹ × 691¹

Step-3: Factors of 26239

List of positive integer factors of 26239 that divides 26239 without a remainder.

1, 19, 1381

Step-4: Factors of 26258

List of positive integer factors of 26258 that divides 26239 without a remainder.

1, 2, 19, 38, 691, 1382, 13129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26239 and 26258. The biggest common factor number is the GCF number.
So the greatest common factor 26239 and 26258 is 19.

Also check out the Least Common Multiple of 26239 and 26258