What is the Greatest Common Factor of 64821 and 64839?

Greatest common factor (GCF) of 64821 and 64839 is 3.

GCF(64821,64839) = 3

We will now calculate the prime factors of 64821 and 64839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64821 and 64839.

How to find the GCF of 64821 and 64839?

We will first find the prime factorization of 64821 and 64839. After we will calculate the factors of 64821 and 64839 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 64839

Prime factors of 64839 are 3, 21613. Prime factorization of 64839 in exponential form is:

64839 = 3¹ × 21613¹

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 64839

List of positive integer factors of 64839 that divides 64821 without a remainder.

1, 3, 21613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64821 and 64839. The biggest common factor number is the GCF number.
So the greatest common factor 64821 and 64839 is 3.

Also check out the Least Common Multiple of 64821 and 64839