What is the Greatest Common Factor of 66351 and 66368?

Greatest common factor (GCF) of 66351 and 66368 is 17.

GCF(66351,66368) = 17

We will now calculate the prime factors of 66351 and 66368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66351 and 66368.

How to find the GCF of 66351 and 66368?

We will first find the prime factorization of 66351 and 66368. After we will calculate the factors of 66351 and 66368 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 66368

Prime factors of 66368 are 2, 17, 61. Prime factorization of 66368 in exponential form is:

66368 = 2⁶ × 17¹ × 61¹

Step-3: Factors of 66351

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

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

Step-4: Factors of 66368

List of positive integer factors of 66368 that divides 66351 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 61, 64, 68, 122, 136, 244, 272, 488, 544, 976, 1037, 1088, 1952, 2074, 3904, 4148, 8296, 16592, 33184

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66351 and 66368. The biggest common factor number is the GCF number.
So the greatest common factor 66351 and 66368 is 17.

Also check out the Least Common Multiple of 66351 and 66368