What is the Greatest Common Factor of 80344 and 80358?

Greatest common factor (GCF) of 80344 and 80358 is 2.

GCF(80344,80358) = 2

We will now calculate the prime factors of 80344 and 80358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80344 and 80358.

How to find the GCF of 80344 and 80358?

We will first find the prime factorization of 80344 and 80358. After we will calculate the factors of 80344 and 80358 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 80358

Prime factors of 80358 are 2, 3, 59, 227. Prime factorization of 80358 in exponential form is:

80358 = 2¹ × 3¹ × 59¹ × 227¹

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 80358

List of positive integer factors of 80358 that divides 80344 without a remainder.

1, 2, 3, 6, 59, 118, 177, 227, 354, 454, 681, 1362, 13393, 26786, 40179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80344 and 80358. The biggest common factor number is the GCF number.
So the greatest common factor 80344 and 80358 is 2.

Also check out the Least Common Multiple of 80344 and 80358