What is the Greatest Common Factor of 80344 and 80355?

Greatest common factor (GCF) of 80344 and 80355 is 11.

GCF(80344,80355) = 11

We will now calculate the prime factors of 80344 and 80355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80344 and 80355.

How to find the GCF of 80344 and 80355?

We will first find the prime factorization of 80344 and 80355. After we will calculate the factors of 80344 and 80355 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 80355

Prime factors of 80355 are 3, 5, 11, 487. Prime factorization of 80355 in exponential form is:

80355 = 3¹ × 5¹ × 11¹ × 487¹

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 80355

List of positive integer factors of 80355 that divides 80344 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 487, 1461, 2435, 5357, 7305, 16071, 26785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80344 and 80355. The biggest common factor number is the GCF number.
So the greatest common factor 80344 and 80355 is 11.

Also check out the Least Common Multiple of 80344 and 80355