What is the Greatest Common Factor of 80824 and 80832?

Greatest common factor (GCF) of 80824 and 80832 is 8.

GCF(80824,80832) = 8

We will now calculate the prime factors of 80824 and 80832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80824 and 80832.

How to find the GCF of 80824 and 80832?

We will first find the prime factorization of 80824 and 80832. After we will calculate the factors of 80824 and 80832 and find the biggest common factor number .

Step-1: Prime Factorization of 80824

Prime factors of 80824 are 2, 10103. Prime factorization of 80824 in exponential form is:

80824 = 2³ × 10103¹

Step-2: Prime Factorization of 80832

Prime factors of 80832 are 2, 3, 421. Prime factorization of 80832 in exponential form is:

80832 = 2⁶ × 3¹ × 421¹

Step-3: Factors of 80824

List of positive integer factors of 80824 that divides 80824 without a remainder.

1, 2, 4, 8, 10103, 20206, 40412

Step-4: Factors of 80832

List of positive integer factors of 80832 that divides 80824 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 421, 842, 1263, 1684, 2526, 3368, 5052, 6736, 10104, 13472, 20208, 26944, 40416

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80824 and 80832. The biggest common factor number is the GCF number.
So the greatest common factor 80824 and 80832 is 8.

Also check out the Least Common Multiple of 80824 and 80832