What is the Greatest Common Factor of 78824 and 78832?

Greatest common factor (GCF) of 78824 and 78832 is 8.

GCF(78824,78832) = 8

We will now calculate the prime factors of 78824 and 78832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78824 and 78832.

How to find the GCF of 78824 and 78832?

We will first find the prime factorization of 78824 and 78832. After we will calculate the factors of 78824 and 78832 and find the biggest common factor number .

Step-1: Prime Factorization of 78824

Prime factors of 78824 are 2, 59, 167. Prime factorization of 78824 in exponential form is:

78824 = 2³ × 59¹ × 167¹

Step-2: 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-3: Factors of 78824

List of positive integer factors of 78824 that divides 78824 without a remainder.

1, 2, 4, 8, 59, 118, 167, 236, 334, 472, 668, 1336, 9853, 19706, 39412

Step-4: Factors of 78832

List of positive integer factors of 78832 that divides 78824 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78824 and 78832. The biggest common factor number is the GCF number.
So the greatest common factor 78824 and 78832 is 8.

Also check out the Least Common Multiple of 78824 and 78832