What is the Greatest Common Factor of 26220 and 26231?

Greatest common factor (GCF) of 26220 and 26231 is 1.

GCF(26220,26231) = 1

We will now calculate the prime factors of 26220 and 26231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26220 and 26231.

How to find the GCF of 26220 and 26231?

We will first find the prime factorization of 26220 and 26231. After we will calculate the factors of 26220 and 26231 and find the biggest common factor number .

Step-1: Prime Factorization of 26220

Prime factors of 26220 are 2, 3, 5, 19, 23. Prime factorization of 26220 in exponential form is:

26220 = 2² × 3¹ × 5¹ × 19¹ × 23¹

Step-2: Prime Factorization of 26231

Prime factors of 26231 are 17, 1543. Prime factorization of 26231 in exponential form is:

26231 = 17¹ × 1543¹

Step-3: Factors of 26220

List of positive integer factors of 26220 that divides 26220 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 23, 30, 38, 46, 57, 60, 69, 76, 92, 95, 114, 115, 138, 190, 228, 230, 276, 285, 345, 380, 437, 460, 570, 690, 874, 1140, 1311, 1380, 1748, 2185, 2622, 4370, 5244, 6555, 8740, 13110

Step-4: Factors of 26231

List of positive integer factors of 26231 that divides 26220 without a remainder.

1, 17, 1543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26220 and 26231. The biggest common factor number is the GCF number.
So the greatest common factor 26220 and 26231 is 1.

Also check out the Least Common Multiple of 26220 and 26231