What is the Greatest Common Factor of 64821 and 64827?

Greatest common factor (GCF) of 64821 and 64827 is 3.

GCF(64821,64827) = 3

We will now calculate the prime factors of 64821 and 64827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64821 and 64827.

How to find the GCF of 64821 and 64827?

We will first find the prime factorization of 64821 and 64827. After we will calculate the factors of 64821 and 64827 and find the biggest common factor number .

Step-1: Prime Factorization of 64821

Prime factors of 64821 are 3, 17, 31, 41. Prime factorization of 64821 in exponential form is:

64821 = 3¹ × 17¹ × 31¹ × 41¹

Step-2: Prime Factorization of 64827

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

64827 = 3³ × 7⁴

Step-3: Factors of 64821

List of positive integer factors of 64821 that divides 64821 without a remainder.

1, 3, 17, 31, 41, 51, 93, 123, 527, 697, 1271, 1581, 2091, 3813, 21607

Step-4: Factors of 64827

List of positive integer factors of 64827 that divides 64821 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64821 and 64827. The biggest common factor number is the GCF number.
So the greatest common factor 64821 and 64827 is 3.

Also check out the Least Common Multiple of 64821 and 64827