What is the Greatest Common Factor of 66759 and 66774?

Greatest common factor (GCF) of 66759 and 66774 is 3.

GCF(66759,66774) = 3

We will now calculate the prime factors of 66759 and 66774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66759 and 66774.

How to find the GCF of 66759 and 66774?

We will first find the prime factorization of 66759 and 66774. After we will calculate the factors of 66759 and 66774 and find the biggest common factor number .

Step-1: Prime Factorization of 66759

Prime factors of 66759 are 3, 7, 11, 17. Prime factorization of 66759 in exponential form is:

66759 = 3¹ × 7¹ × 11¹ × 17²

Step-2: Prime Factorization of 66774

Prime factors of 66774 are 2, 3, 31, 359. Prime factorization of 66774 in exponential form is:

66774 = 2¹ × 3¹ × 31¹ × 359¹

Step-3: Factors of 66759

List of positive integer factors of 66759 that divides 66759 without a remainder.

1, 3, 7, 11, 17, 21, 33, 51, 77, 119, 187, 231, 289, 357, 561, 867, 1309, 2023, 3179, 3927, 6069, 9537, 22253

Step-4: Factors of 66774

List of positive integer factors of 66774 that divides 66759 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 359, 718, 1077, 2154, 11129, 22258, 33387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66759 and 66774. The biggest common factor number is the GCF number.
So the greatest common factor 66759 and 66774 is 3.

Also check out the Least Common Multiple of 66759 and 66774