What is the Greatest Common Factor of 78832 and 78852?

Greatest common factor (GCF) of 78832 and 78852 is 4.

GCF(78832,78852) = 4

We will now calculate the prime factors of 78832 and 78852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78832 and 78852.

How to find the GCF of 78832 and 78852?

We will first find the prime factorization of 78832 and 78852. After we will calculate the factors of 78832 and 78852 and find the biggest common factor number .

Step-1: Prime Factorization of 78832

Prime factors of 78832 are 2, 13, 379. Prime factorization of 78832 in exponential form is:

78832 = 2⁴ × 13¹ × 379¹

Step-2: 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-3: Factors of 78832

List of positive integer factors of 78832 that divides 78832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 379, 758, 1516, 3032, 4927, 6064, 9854, 19708, 39416

Step-4: Factors of 78852

List of positive integer factors of 78852 that divides 78832 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78832 and 78852. The biggest common factor number is the GCF number.
So the greatest common factor 78832 and 78852 is 4.

Also check out the Least Common Multiple of 78832 and 78852