What is the Greatest Common Factor of 78852 and 78864?

Greatest common factor (GCF) of 78852 and 78864 is 12.

GCF(78852,78864) = 12

We will now calculate the prime factors of 78852 and 78864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78852 and 78864.

How to find the GCF of 78852 and 78864?

We will first find the prime factorization of 78852 and 78864. After we will calculate the factors of 78852 and 78864 and find the biggest common factor number .

Step-1: Prime Factorization of 78852

Prime factors of 78852 are 2, 3, 6571. Prime factorization of 78852 in exponential form is:

78852 = 2² × 3¹ × 6571¹

Step-2: Prime Factorization of 78864

Prime factors of 78864 are 2, 3, 31, 53. Prime factorization of 78864 in exponential form is:

78864 = 2⁴ × 3¹ × 31¹ × 53¹

Step-3: Factors of 78852

List of positive integer factors of 78852 that divides 78852 without a remainder.

1, 2, 3, 4, 6, 12, 6571, 13142, 19713, 26284, 39426

Step-4: Factors of 78864

List of positive integer factors of 78864 that divides 78852 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 48, 53, 62, 93, 106, 124, 159, 186, 212, 248, 318, 372, 424, 496, 636, 744, 848, 1272, 1488, 1643, 2544, 3286, 4929, 6572, 9858, 13144, 19716, 26288, 39432

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78852 and 78864. The biggest common factor number is the GCF number.
So the greatest common factor 78852 and 78864 is 12.

Also check out the Least Common Multiple of 78852 and 78864