What is the Greatest Common Factor of 80349 and 80364?

Greatest common factor (GCF) of 80349 and 80364 is 3.

GCF(80349,80364) = 3

We will now calculate the prime factors of 80349 and 80364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80349 and 80364.

How to find the GCF of 80349 and 80364?

We will first find the prime factorization of 80349 and 80364. After we will calculate the factors of 80349 and 80364 and find the biggest common factor number .

Step-1: Prime Factorization of 80349

Prime factors of 80349 are 3, 26783. Prime factorization of 80349 in exponential form is:

80349 = 3¹ × 26783¹

Step-2: Prime Factorization of 80364

Prime factors of 80364 are 2, 3, 37, 181. Prime factorization of 80364 in exponential form is:

80364 = 2² × 3¹ × 37¹ × 181¹

Step-3: Factors of 80349

List of positive integer factors of 80349 that divides 80349 without a remainder.

1, 3, 26783

Step-4: Factors of 80364

List of positive integer factors of 80364 that divides 80349 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 181, 222, 362, 444, 543, 724, 1086, 2172, 6697, 13394, 20091, 26788, 40182

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80349 and 80364. The biggest common factor number is the GCF number.
So the greatest common factor 80349 and 80364 is 3.

Also check out the Least Common Multiple of 80349 and 80364