What is the Greatest Common Factor of 80516 and 80533?

Greatest common factor (GCF) of 80516 and 80533 is 1.

GCF(80516,80533) = 1

We will now calculate the prime factors of 80516 and 80533, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80516 and 80533.

How to find the GCF of 80516 and 80533?

We will first find the prime factorization of 80516 and 80533. After we will calculate the factors of 80516 and 80533 and find the biggest common factor number .

Step-1: Prime Factorization of 80516

Prime factors of 80516 are 2, 20129. Prime factorization of 80516 in exponential form is:

80516 = 2² × 20129¹

Step-2: Prime Factorization of 80533

Prime factors of 80533 are 29, 2777. Prime factorization of 80533 in exponential form is:

80533 = 29¹ × 2777¹

Step-3: Factors of 80516

List of positive integer factors of 80516 that divides 80516 without a remainder.

1, 2, 4, 20129, 40258

Step-4: Factors of 80533

List of positive integer factors of 80533 that divides 80516 without a remainder.

1, 29, 2777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80516 and 80533. The biggest common factor number is the GCF number.
So the greatest common factor 80516 and 80533 is 1.

Also check out the Least Common Multiple of 80516 and 80533