What is the Greatest Common Factor of 66825 and 66840?

Greatest common factor (GCF) of 66825 and 66840 is 15.

GCF(66825,66840) = 15

We will now calculate the prime factors of 66825 and 66840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66825 and 66840.

How to find the GCF of 66825 and 66840?

We will first find the prime factorization of 66825 and 66840. After we will calculate the factors of 66825 and 66840 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 66840

Prime factors of 66840 are 2, 3, 5, 557. Prime factorization of 66840 in exponential form is:

66840 = 2³ × 3¹ × 5¹ × 557¹

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 66840

List of positive integer factors of 66840 that divides 66825 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 557, 1114, 1671, 2228, 2785, 3342, 4456, 5570, 6684, 8355, 11140, 13368, 16710, 22280, 33420

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66825 and 66840. The biggest common factor number is the GCF number.
So the greatest common factor 66825 and 66840 is 15.

Also check out the Least Common Multiple of 66825 and 66840