What is the Greatest Common Factor of 26276 and 26280?

Greatest common factor (GCF) of 26276 and 26280 is 4.

GCF(26276,26280) = 4

We will now calculate the prime factors of 26276 and 26280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26276 and 26280.

How to find the GCF of 26276 and 26280?

We will first find the prime factorization of 26276 and 26280. After we will calculate the factors of 26276 and 26280 and find the biggest common factor number .

Step-1: Prime Factorization of 26276

Prime factors of 26276 are 2, 6569. Prime factorization of 26276 in exponential form is:

26276 = 2² × 6569¹

Step-2: Prime Factorization of 26280

Prime factors of 26280 are 2, 3, 5, 73. Prime factorization of 26280 in exponential form is:

26280 = 2³ × 3² × 5¹ × 73¹

Step-3: Factors of 26276

List of positive integer factors of 26276 that divides 26276 without a remainder.

1, 2, 4, 6569, 13138

Step-4: Factors of 26280

List of positive integer factors of 26280 that divides 26276 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 73, 90, 120, 146, 180, 219, 292, 360, 365, 438, 584, 657, 730, 876, 1095, 1314, 1460, 1752, 2190, 2628, 2920, 3285, 4380, 5256, 6570, 8760, 13140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26276 and 26280. The biggest common factor number is the GCF number.
So the greatest common factor 26276 and 26280 is 4.

Also check out the Least Common Multiple of 26276 and 26280