What is the Greatest Common Factor of 66825 and 66836?

Greatest common factor (GCF) of 66825 and 66836 is 11.

GCF(66825,66836) = 11

We will now calculate the prime factors of 66825 and 66836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66825 and 66836.

How to find the GCF of 66825 and 66836?

We will first find the prime factorization of 66825 and 66836. After we will calculate the factors of 66825 and 66836 and find the biggest common factor number .

Step-1: Prime Factorization of 66825

Prime factors of 66825 are 3, 5, 11. Prime factorization of 66825 in exponential form is:

66825 = 3⁵ × 5² × 11¹

Step-2: Prime Factorization of 66836

Prime factors of 66836 are 2, 7, 11, 31. Prime factorization of 66836 in exponential form is:

66836 = 2² × 7² × 11¹ × 31¹

Step-3: Factors of 66825

List of positive integer factors of 66825 that divides 66825 without a remainder.

1, 3, 5, 9, 11, 15, 25, 27, 33, 45, 55, 75, 81, 99, 135, 165, 225, 243, 275, 297, 405, 495, 675, 825, 891, 1215, 1485, 2025, 2475, 2673, 4455, 6075, 7425, 13365, 22275

Step-4: Factors of 66836

List of positive integer factors of 66836 that divides 66825 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 31, 44, 49, 62, 77, 98, 124, 154, 196, 217, 308, 341, 434, 539, 682, 868, 1078, 1364, 1519, 2156, 2387, 3038, 4774, 6076, 9548, 16709, 33418

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66825 and 66836. The biggest common factor number is the GCF number.
So the greatest common factor 66825 and 66836 is 11.

Also check out the Least Common Multiple of 66825 and 66836