What is the Greatest Common Factor of 78852 and 78867?

Greatest common factor (GCF) of 78852 and 78867 is 3.

GCF(78852,78867) = 3

We will now calculate the prime factors of 78852 and 78867, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78852 and 78867.

How to find the GCF of 78852 and 78867?

We will first find the prime factorization of 78852 and 78867. After we will calculate the factors of 78852 and 78867 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 78867

Prime factors of 78867 are 3, 23, 127. Prime factorization of 78867 in exponential form is:

78867 = 3³ × 23¹ × 127¹

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 78867

List of positive integer factors of 78867 that divides 78852 without a remainder.

1, 3, 9, 23, 27, 69, 127, 207, 381, 621, 1143, 2921, 3429, 8763, 26289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78852 and 78867. The biggest common factor number is the GCF number.
So the greatest common factor 78852 and 78867 is 3.

Also check out the Least Common Multiple of 78852 and 78867