What is the Greatest Common Factor of 64821 and 64830?

Greatest common factor (GCF) of 64821 and 64830 is 3.

GCF(64821,64830) = 3

We will now calculate the prime factors of 64821 and 64830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64821 and 64830.

How to find the GCF of 64821 and 64830?

We will first find the prime factorization of 64821 and 64830. After we will calculate the factors of 64821 and 64830 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 64830

Prime factors of 64830 are 2, 3, 5, 2161. Prime factorization of 64830 in exponential form is:

64830 = 2¹ × 3¹ × 5¹ × 2161¹

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 64830

List of positive integer factors of 64830 that divides 64821 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2161, 4322, 6483, 10805, 12966, 21610, 32415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64821 and 64830. The biggest common factor number is the GCF number.
So the greatest common factor 64821 and 64830 is 3.

Also check out the Least Common Multiple of 64821 and 64830