What is the Greatest Common Factor of 80324 and 80342?

Greatest common factor (GCF) of 80324 and 80342 is 2.

GCF(80324,80342) = 2

We will now calculate the prime factors of 80324 and 80342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80324 and 80342.

How to find the GCF of 80324 and 80342?

We will first find the prime factorization of 80324 and 80342. After we will calculate the factors of 80324 and 80342 and find the biggest common factor number .

Step-1: Prime Factorization of 80324

Prime factors of 80324 are 2, 43, 467. Prime factorization of 80324 in exponential form is:

80324 = 2² × 43¹ × 467¹

Step-2: Prime Factorization of 80342

Prime factors of 80342 are 2, 17, 139. Prime factorization of 80342 in exponential form is:

80342 = 2¹ × 17² × 139¹

Step-3: Factors of 80324

List of positive integer factors of 80324 that divides 80324 without a remainder.

1, 2, 4, 43, 86, 172, 467, 934, 1868, 20081, 40162

Step-4: Factors of 80342

List of positive integer factors of 80342 that divides 80324 without a remainder.

1, 2, 17, 34, 139, 278, 289, 578, 2363, 4726, 40171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80324 and 80342. The biggest common factor number is the GCF number.
So the greatest common factor 80324 and 80342 is 2.

Also check out the Least Common Multiple of 80324 and 80342