What is the Greatest Common Factor of 64804 and 64821?

Greatest common factor (GCF) of 64804 and 64821 is 17.

GCF(64804,64821) = 17

We will now calculate the prime factors of 64804 and 64821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64804 and 64821.

How to find the GCF of 64804 and 64821?

We will first find the prime factorization of 64804 and 64821. After we will calculate the factors of 64804 and 64821 and find the biggest common factor number .

Step-1: Prime Factorization of 64804

Prime factors of 64804 are 2, 17, 953. Prime factorization of 64804 in exponential form is:

64804 = 2² × 17¹ × 953¹

Step-2: 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-3: Factors of 64804

List of positive integer factors of 64804 that divides 64804 without a remainder.

1, 2, 4, 17, 34, 68, 953, 1906, 3812, 16201, 32402

Step-4: Factors of 64821

List of positive integer factors of 64821 that divides 64804 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64804 and 64821. The biggest common factor number is the GCF number.
So the greatest common factor 64804 and 64821 is 17.

Also check out the Least Common Multiple of 64804 and 64821