What is the Greatest Common Factor of 26204 and 26220?

Greatest common factor (GCF) of 26204 and 26220 is 4.

GCF(26204,26220) = 4

We will now calculate the prime factors of 26204 and 26220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26204 and 26220.

How to find the GCF of 26204 and 26220?

We will first find the prime factorization of 26204 and 26220. After we will calculate the factors of 26204 and 26220 and find the biggest common factor number .

Step-1: Prime Factorization of 26204

Prime factors of 26204 are 2, 6551. Prime factorization of 26204 in exponential form is:

26204 = 2² × 6551¹

Step-2: 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-3: Factors of 26204

List of positive integer factors of 26204 that divides 26204 without a remainder.

1, 2, 4, 6551, 13102

Step-4: Factors of 26220

List of positive integer factors of 26220 that divides 26204 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26204 and 26220. The biggest common factor number is the GCF number.
So the greatest common factor 26204 and 26220 is 4.

Also check out the Least Common Multiple of 26204 and 26220