What is the Greatest Common Factor of 80412 and 80427?

Greatest common factor (GCF) of 80412 and 80427 is 3.

GCF(80412,80427) = 3

We will now calculate the prime factors of 80412 and 80427, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80412 and 80427.

How to find the GCF of 80412 and 80427?

We will first find the prime factorization of 80412 and 80427. After we will calculate the factors of 80412 and 80427 and find the biggest common factor number .

Step-1: Prime Factorization of 80412

Prime factors of 80412 are 2, 3, 6701. Prime factorization of 80412 in exponential form is:

80412 = 2² × 3¹ × 6701¹

Step-2: Prime Factorization of 80427

Prime factors of 80427 are 3, 17, 19, 83. Prime factorization of 80427 in exponential form is:

80427 = 3¹ × 17¹ × 19¹ × 83¹

Step-3: Factors of 80412

List of positive integer factors of 80412 that divides 80412 without a remainder.

1, 2, 3, 4, 6, 12, 6701, 13402, 20103, 26804, 40206

Step-4: Factors of 80427

List of positive integer factors of 80427 that divides 80412 without a remainder.

1, 3, 17, 19, 51, 57, 83, 249, 323, 969, 1411, 1577, 4233, 4731, 26809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80412 and 80427. The biggest common factor number is the GCF number.
So the greatest common factor 80412 and 80427 is 3.

Also check out the Least Common Multiple of 80412 and 80427