What is the Greatest Common Factor of 66814 and 66825?

Greatest common factor (GCF) of 66814 and 66825 is 11.

GCF(66814,66825) = 11

We will now calculate the prime factors of 66814 and 66825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66814 and 66825.

How to find the GCF of 66814 and 66825?

We will first find the prime factorization of 66814 and 66825. After we will calculate the factors of 66814 and 66825 and find the biggest common factor number .

Step-1: Prime Factorization of 66814

Prime factors of 66814 are 2, 11, 3037. Prime factorization of 66814 in exponential form is:

66814 = 2¹ × 11¹ × 3037¹

Step-2: 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-3: Factors of 66814

List of positive integer factors of 66814 that divides 66814 without a remainder.

1, 2, 11, 22, 3037, 6074, 33407

Step-4: Factors of 66825

List of positive integer factors of 66825 that divides 66814 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66814 and 66825. The biggest common factor number is the GCF number.
So the greatest common factor 66814 and 66825 is 11.

Also check out the Least Common Multiple of 66814 and 66825