What is the Greatest Common Factor of 66801 and 66816?

Greatest common factor (GCF) of 66801 and 66816 is 3.

GCF(66801,66816) = 3

We will now calculate the prime factors of 66801 and 66816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66801 and 66816.

How to find the GCF of 66801 and 66816?

We will first find the prime factorization of 66801 and 66816. After we will calculate the factors of 66801 and 66816 and find the biggest common factor number .

Step-1: Prime Factorization of 66801

Prime factors of 66801 are 3, 7, 3181. Prime factorization of 66801 in exponential form is:

66801 = 3¹ × 7¹ × 3181¹

Step-2: Prime Factorization of 66816

Prime factors of 66816 are 2, 3, 29. Prime factorization of 66816 in exponential form is:

66816 = 2⁸ × 3² × 29¹

Step-3: Factors of 66801

List of positive integer factors of 66801 that divides 66801 without a remainder.

1, 3, 7, 21, 3181, 9543, 22267

Step-4: Factors of 66816

List of positive integer factors of 66816 that divides 66801 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 32, 36, 48, 58, 64, 72, 87, 96, 116, 128, 144, 174, 192, 232, 256, 261, 288, 348, 384, 464, 522, 576, 696, 768, 928, 1044, 1152, 1392, 1856, 2088, 2304, 2784, 3712, 4176, 5568, 7424, 8352, 11136, 16704, 22272, 33408

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66801 and 66816. The biggest common factor number is the GCF number.
So the greatest common factor 66801 and 66816 is 3.

Also check out the Least Common Multiple of 66801 and 66816