What is the Greatest Common Factor of 64827 and 64833?

Greatest common factor (GCF) of 64827 and 64833 is 3.

GCF(64827,64833) = 3

We will now calculate the prime factors of 64827 and 64833, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64827 and 64833.

How to find the GCF of 64827 and 64833?

We will first find the prime factorization of 64827 and 64833. After we will calculate the factors of 64827 and 64833 and find the biggest common factor number .

Step-1: Prime Factorization of 64827

Prime factors of 64827 are 3, 7. Prime factorization of 64827 in exponential form is:

64827 = 3³ × 7⁴

Step-2: Prime Factorization of 64833

Prime factors of 64833 are 3, 21611. Prime factorization of 64833 in exponential form is:

64833 = 3¹ × 21611¹

Step-3: Factors of 64827

List of positive integer factors of 64827 that divides 64827 without a remainder.

1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 343, 441, 1029, 1323, 2401, 3087, 7203, 9261, 21609

Step-4: Factors of 64833

List of positive integer factors of 64833 that divides 64827 without a remainder.

1, 3, 21611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64827 and 64833. The biggest common factor number is the GCF number.
So the greatest common factor 64827 and 64833 is 3.

Also check out the Least Common Multiple of 64827 and 64833