What is the Greatest Common Factor of 66825 and 66844?

Greatest common factor (GCF) of 66825 and 66844 is 1.

GCF(66825,66844) = 1

We will now calculate the prime factors of 66825 and 66844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66825 and 66844.

How to find the GCF of 66825 and 66844?

We will first find the prime factorization of 66825 and 66844. After we will calculate the factors of 66825 and 66844 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 66844

Prime factors of 66844 are 2, 17, 983. Prime factorization of 66844 in exponential form is:

66844 = 2² × 17¹ × 983¹

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 66844

List of positive integer factors of 66844 that divides 66825 without a remainder.

1, 2, 4, 17, 34, 68, 983, 1966, 3932, 16711, 33422

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66825 and 66844. The biggest common factor number is the GCF number.
So the greatest common factor 66825 and 66844 is 1.

Also check out the Least Common Multiple of 66825 and 66844