What is the Greatest Common Factor of 80820 and 80828?

Greatest common factor (GCF) of 80820 and 80828 is 4.

GCF(80820,80828) = 4

We will now calculate the prime factors of 80820 and 80828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80820 and 80828.

How to find the GCF of 80820 and 80828?

We will first find the prime factorization of 80820 and 80828. After we will calculate the factors of 80820 and 80828 and find the biggest common factor number .

Step-1: Prime Factorization of 80820

Prime factors of 80820 are 2, 3, 5, 449. Prime factorization of 80820 in exponential form is:

80820 = 2² × 3² × 5¹ × 449¹

Step-2: 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-3: Factors of 80820

List of positive integer factors of 80820 that divides 80820 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 449, 898, 1347, 1796, 2245, 2694, 4041, 4490, 5388, 6735, 8082, 8980, 13470, 16164, 20205, 26940, 40410

Step-4: Factors of 80828

List of positive integer factors of 80828 that divides 80820 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80820 and 80828. The biggest common factor number is the GCF number.
So the greatest common factor 80820 and 80828 is 4.

Also check out the Least Common Multiple of 80820 and 80828