What is the Greatest Common Factor of 66501 and 66516?

Greatest common factor (GCF) of 66501 and 66516 is 3.

GCF(66501,66516) = 3

We will now calculate the prime factors of 66501 and 66516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66501 and 66516.

How to find the GCF of 66501 and 66516?

We will first find the prime factorization of 66501 and 66516. After we will calculate the factors of 66501 and 66516 and find the biggest common factor number .

Step-1: Prime Factorization of 66501

Prime factors of 66501 are 3, 821. Prime factorization of 66501 in exponential form is:

66501 = 3⁴ × 821¹

Step-2: Prime Factorization of 66516

Prime factors of 66516 are 2, 3, 23, 241. Prime factorization of 66516 in exponential form is:

66516 = 2² × 3¹ × 23¹ × 241¹

Step-3: Factors of 66501

List of positive integer factors of 66501 that divides 66501 without a remainder.

1, 3, 9, 27, 81, 821, 2463, 7389, 22167

Step-4: Factors of 66516

List of positive integer factors of 66516 that divides 66501 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 241, 276, 482, 723, 964, 1446, 2892, 5543, 11086, 16629, 22172, 33258

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66501 and 66516. The biggest common factor number is the GCF number.
So the greatest common factor 66501 and 66516 is 3.

Also check out the Least Common Multiple of 66501 and 66516