What is the Greatest Common Factor of 80828 and 80848?

Greatest common factor (GCF) of 80828 and 80848 is 4.

GCF(80828,80848) = 4

We will now calculate the prime factors of 80828 and 80848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80828 and 80848.

How to find the GCF of 80828 and 80848?

We will first find the prime factorization of 80828 and 80848. After we will calculate the factors of 80828 and 80848 and find the biggest common factor number .

Step-1: Prime Factorization of 80828

Prime factors of 80828 are 2, 11, 167. Prime factorization of 80828 in exponential form is:

80828 = 2² × 11² × 167¹

Step-2: Prime Factorization of 80848

Prime factors of 80848 are 2, 31, 163. Prime factorization of 80848 in exponential form is:

80848 = 2⁴ × 31¹ × 163¹

Step-3: Factors of 80828

List of positive integer factors of 80828 that divides 80828 without a remainder.

1, 2, 4, 11, 22, 44, 121, 167, 242, 334, 484, 668, 1837, 3674, 7348, 20207, 40414

Step-4: Factors of 80848

List of positive integer factors of 80848 that divides 80828 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 163, 248, 326, 496, 652, 1304, 2608, 5053, 10106, 20212, 40424

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80828 and 80848. The biggest common factor number is the GCF number.
So the greatest common factor 80828 and 80848 is 4.

Also check out the Least Common Multiple of 80828 and 80848