What is the Greatest Common Factor of 80814 and 80820?

Greatest common factor (GCF) of 80814 and 80820 is 6.

GCF(80814,80820) = 6

We will now calculate the prime factors of 80814 and 80820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80814 and 80820.

How to find the GCF of 80814 and 80820?

We will first find the prime factorization of 80814 and 80820. After we will calculate the factors of 80814 and 80820 and find the biggest common factor number .

Step-1: Prime Factorization of 80814

Prime factors of 80814 are 2, 3, 13469. Prime factorization of 80814 in exponential form is:

80814 = 2¹ × 3¹ × 13469¹

Step-2: 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-3: Factors of 80814

List of positive integer factors of 80814 that divides 80814 without a remainder.

1, 2, 3, 6, 13469, 26938, 40407

Step-4: Factors of 80820

List of positive integer factors of 80820 that divides 80814 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80814 and 80820. The biggest common factor number is the GCF number.
So the greatest common factor 80814 and 80820 is 6.

Also check out the Least Common Multiple of 80814 and 80820