What is the Greatest Common Factor of 80549 and 80564?

Greatest common factor (GCF) of 80549 and 80564 is 1.

GCF(80549,80564) = 1

We will now calculate the prime factors of 80549 and 80564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80549 and 80564.

How to find the GCF of 80549 and 80564?

We will first find the prime factorization of 80549 and 80564. After we will calculate the factors of 80549 and 80564 and find the biggest common factor number .

Step-1: Prime Factorization of 80549

Prime factors of 80549 are 7, 37, 311. Prime factorization of 80549 in exponential form is:

80549 = 7¹ × 37¹ × 311¹

Step-2: Prime Factorization of 80564

Prime factors of 80564 are 2, 11, 1831. Prime factorization of 80564 in exponential form is:

80564 = 2² × 11¹ × 1831¹

Step-3: Factors of 80549

List of positive integer factors of 80549 that divides 80549 without a remainder.

1, 7, 37, 259, 311, 2177, 11507

Step-4: Factors of 80564

List of positive integer factors of 80564 that divides 80549 without a remainder.

1, 2, 4, 11, 22, 44, 1831, 3662, 7324, 20141, 40282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80549 and 80564. The biggest common factor number is the GCF number.
So the greatest common factor 80549 and 80564 is 1.

Also check out the Least Common Multiple of 80549 and 80564