What is the Greatest Common Factor of 80549 and 80567?

Greatest common factor (GCF) of 80549 and 80567 is 1.

GCF(80549,80567) = 1

We will now calculate the prime factors of 80549 and 80567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80549 and 80567.

How to find the GCF of 80549 and 80567?

We will first find the prime factorization of 80549 and 80567. After we will calculate the factors of 80549 and 80567 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 80567

Prime factors of 80567 are 80567. Prime factorization of 80567 in exponential form is:

80567 = 80567¹

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 80567

List of positive integer factors of 80567 that divides 80549 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80549 and 80567. The biggest common factor number is the GCF number.
So the greatest common factor 80549 and 80567 is 1.

Also check out the Least Common Multiple of 80549 and 80567