What is the Greatest Common Factor of 26280 and 26300?

Greatest common factor (GCF) of 26280 and 26300 is 20.

GCF(26280,26300) = 20

We will now calculate the prime factors of 26280 and 26300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26280 and 26300.

How to find the GCF of 26280 and 26300?

We will first find the prime factorization of 26280 and 26300. After we will calculate the factors of 26280 and 26300 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26300

Prime factors of 26300 are 2, 5, 263. Prime factorization of 26300 in exponential form is:

26300 = 2² × 5² × 263¹

Step-3: Factors of 26280

List of positive integer factors of 26280 that divides 26280 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

Step-4: Factors of 26300

List of positive integer factors of 26300 that divides 26280 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 263, 526, 1052, 1315, 2630, 5260, 6575, 13150

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26280 and 26300. The biggest common factor number is the GCF number.
So the greatest common factor 26280 and 26300 is 20.

Also check out the Least Common Multiple of 26280 and 26300