What is the Greatest Common Factor of 80344 and 80364?

Greatest common factor (GCF) of 80344 and 80364 is 4.

GCF(80344,80364) = 4

We will now calculate the prime factors of 80344 and 80364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80344 and 80364.

How to find the GCF of 80344 and 80364?

We will first find the prime factorization of 80344 and 80364. After we will calculate the factors of 80344 and 80364 and find the biggest common factor number .

Step-1: Prime Factorization of 80344

Prime factors of 80344 are 2, 11, 83. Prime factorization of 80344 in exponential form is:

80344 = 2³ × 11² × 83¹

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 80344

List of positive integer factors of 80344 that divides 80344 without a remainder.

1, 2, 4, 8, 11, 22, 44, 83, 88, 121, 166, 242, 332, 484, 664, 913, 968, 1826, 3652, 7304, 10043, 20086, 40172

Step-4: Factors of 80364

List of positive integer factors of 80364 that divides 80344 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 80344 and 80364. The biggest common factor number is the GCF number.
So the greatest common factor 80344 and 80364 is 4.

Also check out the Least Common Multiple of 80344 and 80364