What is the Greatest Common Factor of 80516 and 80525?

Greatest common factor (GCF) of 80516 and 80525 is 1.

GCF(80516,80525) = 1

We will now calculate the prime factors of 80516 and 80525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80516 and 80525.

How to find the GCF of 80516 and 80525?

We will first find the prime factorization of 80516 and 80525. After we will calculate the factors of 80516 and 80525 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 80525

Prime factors of 80525 are 5, 3221. Prime factorization of 80525 in exponential form is:

80525 = 5² × 3221¹

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 80525

List of positive integer factors of 80525 that divides 80516 without a remainder.

1, 5, 25, 3221, 16105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80516 and 80525. The biggest common factor number is the GCF number.
So the greatest common factor 80516 and 80525 is 1.

Also check out the Least Common Multiple of 80516 and 80525