What is the Greatest Common Factor of 64833 and 64848?

Greatest common factor (GCF) of 64833 and 64848 is 3.

GCF(64833,64848) = 3

We will now calculate the prime factors of 64833 and 64848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64833 and 64848.

How to find the GCF of 64833 and 64848?

We will first find the prime factorization of 64833 and 64848. After we will calculate the factors of 64833 and 64848 and find the biggest common factor number .

Step-1: Prime Factorization of 64833

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

64833 = 3¹ × 21611¹

Step-2: Prime Factorization of 64848

Prime factors of 64848 are 2, 3, 7, 193. Prime factorization of 64848 in exponential form is:

64848 = 2⁴ × 3¹ × 7¹ × 193¹

Step-3: Factors of 64833

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

1, 3, 21611

Step-4: Factors of 64848

List of positive integer factors of 64848 that divides 64833 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 193, 336, 386, 579, 772, 1158, 1351, 1544, 2316, 2702, 3088, 4053, 4632, 5404, 8106, 9264, 10808, 16212, 21616, 32424

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64833 and 64848. The biggest common factor number is the GCF number.
So the greatest common factor 64833 and 64848 is 3.

Also check out the Least Common Multiple of 64833 and 64848