What is the Greatest Common Factor of 80812 and 80832?

Greatest common factor (GCF) of 80812 and 80832 is 4.

GCF(80812,80832) = 4

We will now calculate the prime factors of 80812 and 80832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80812 and 80832.

How to find the GCF of 80812 and 80832?

We will first find the prime factorization of 80812 and 80832. After we will calculate the factors of 80812 and 80832 and find the biggest common factor number .

Step-1: Prime Factorization of 80812

Prime factors of 80812 are 2, 89, 227. Prime factorization of 80812 in exponential form is:

80812 = 2² × 89¹ × 227¹

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 80812

List of positive integer factors of 80812 that divides 80812 without a remainder.

1, 2, 4, 89, 178, 227, 356, 454, 908, 20203, 40406

Step-4: Factors of 80832

List of positive integer factors of 80832 that divides 80812 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 80812 and 80832. The biggest common factor number is the GCF number.
So the greatest common factor 80812 and 80832 is 4.

Also check out the Least Common Multiple of 80812 and 80832