What is the Greatest Common Factor of 87790 and 87809?

Greatest common factor (GCF) of 87790 and 87809 is 1.

GCF(87790,87809) = 1

We will now calculate the prime factors of 87790 and 87809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87790 and 87809.

How to find the GCF of 87790 and 87809?

We will first find the prime factorization of 87790 and 87809. After we will calculate the factors of 87790 and 87809 and find the biggest common factor number .

Step-1: Prime Factorization of 87790

Prime factors of 87790 are 2, 5, 8779. Prime factorization of 87790 in exponential form is:

87790 = 2¹ × 5¹ × 8779¹

Step-2: Prime Factorization of 87809

Prime factors of 87809 are 277, 317. Prime factorization of 87809 in exponential form is:

87809 = 277¹ × 317¹

Step-3: Factors of 87790

List of positive integer factors of 87790 that divides 87790 without a remainder.

1, 2, 5, 10, 8779, 17558, 43895

Step-4: Factors of 87809

List of positive integer factors of 87809 that divides 87790 without a remainder.

1, 277, 317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87790 and 87809. The biggest common factor number is the GCF number.
So the greatest common factor 87790 and 87809 is 1.

Also check out the Least Common Multiple of 87790 and 87809