What is the Greatest Common Factor of 26530 and 26550?

Greatest common factor (GCF) of 26530 and 26550 is 10.

GCF(26530,26550) = 10

We will now calculate the prime factors of 26530 and 26550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26530 and 26550.

How to find the GCF of 26530 and 26550?

We will first find the prime factorization of 26530 and 26550. After we will calculate the factors of 26530 and 26550 and find the biggest common factor number .

Step-1: Prime Factorization of 26530

Prime factors of 26530 are 2, 5, 7, 379. Prime factorization of 26530 in exponential form is:

26530 = 2¹ × 5¹ × 7¹ × 379¹

Step-2: Prime Factorization of 26550

Prime factors of 26550 are 2, 3, 5, 59. Prime factorization of 26550 in exponential form is:

26550 = 2¹ × 3² × 5² × 59¹

Step-3: Factors of 26530

List of positive integer factors of 26530 that divides 26530 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 379, 758, 1895, 2653, 3790, 5306, 13265

Step-4: Factors of 26550

List of positive integer factors of 26550 that divides 26530 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 59, 75, 90, 118, 150, 177, 225, 295, 354, 450, 531, 590, 885, 1062, 1475, 1770, 2655, 2950, 4425, 5310, 8850, 13275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26530 and 26550. The biggest common factor number is the GCF number.
So the greatest common factor 26530 and 26550 is 10.

Also check out the Least Common Multiple of 26530 and 26550