What is the Greatest Common Factor of 66336 and 66351?

Greatest common factor (GCF) of 66336 and 66351 is 3.

GCF(66336,66351) = 3

We will now calculate the prime factors of 66336 and 66351, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66336 and 66351.

How to find the GCF of 66336 and 66351?

We will first find the prime factorization of 66336 and 66351. After we will calculate the factors of 66336 and 66351 and find the biggest common factor number .

Step-1: Prime Factorization of 66336

Prime factors of 66336 are 2, 3, 691. Prime factorization of 66336 in exponential form is:

66336 = 2⁵ × 3¹ × 691¹

Step-2: Prime Factorization of 66351

Prime factors of 66351 are 3, 17, 1301. Prime factorization of 66351 in exponential form is:

66351 = 3¹ × 17¹ × 1301¹

Step-3: Factors of 66336

List of positive integer factors of 66336 that divides 66336 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 691, 1382, 2073, 2764, 4146, 5528, 8292, 11056, 16584, 22112, 33168

Step-4: Factors of 66351

List of positive integer factors of 66351 that divides 66336 without a remainder.

1, 3, 17, 51, 1301, 3903, 22117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66336 and 66351. The biggest common factor number is the GCF number.
So the greatest common factor 66336 and 66351 is 3.

Also check out the Least Common Multiple of 66336 and 66351