What is the Greatest Common Factor of 26224 and 26239?

Greatest common factor (GCF) of 26224 and 26239 is 1.

GCF(26224,26239) = 1

We will now calculate the prime factors of 26224 and 26239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26224 and 26239.

How to find the GCF of 26224 and 26239?

We will first find the prime factorization of 26224 and 26239. After we will calculate the factors of 26224 and 26239 and find the biggest common factor number .

Step-1: Prime Factorization of 26224

Prime factors of 26224 are 2, 11, 149. Prime factorization of 26224 in exponential form is:

26224 = 2⁴ × 11¹ × 149¹

Step-2: Prime Factorization of 26239

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

26239 = 19¹ × 1381¹

Step-3: Factors of 26224

List of positive integer factors of 26224 that divides 26224 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 149, 176, 298, 596, 1192, 1639, 2384, 3278, 6556, 13112

Step-4: Factors of 26239

List of positive integer factors of 26239 that divides 26224 without a remainder.

1, 19, 1381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26224 and 26239. The biggest common factor number is the GCF number.
So the greatest common factor 26224 and 26239 is 1.

Also check out the Least Common Multiple of 26224 and 26239