What is the Greatest Common Factor of 87795 and 87809?

Greatest common factor (GCF) of 87795 and 87809 is 1.

GCF(87795,87809) = 1

We will now calculate the prime factors of 87795 and 87809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87795 and 87809.

How to find the GCF of 87795 and 87809?

We will first find the prime factorization of 87795 and 87809. After we will calculate the factors of 87795 and 87809 and find the biggest common factor number .

Step-1: Prime Factorization of 87795

Prime factors of 87795 are 3, 5, 1951. Prime factorization of 87795 in exponential form is:

87795 = 3² × 5¹ × 1951¹

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 87795

List of positive integer factors of 87795 that divides 87795 without a remainder.

1, 3, 5, 9, 15, 45, 1951, 5853, 9755, 17559, 29265

Step-4: Factors of 87809

List of positive integer factors of 87809 that divides 87795 without a remainder.

1, 277, 317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87795 and 87809. The biggest common factor number is the GCF number.
So the greatest common factor 87795 and 87809 is 1.

Also check out the Least Common Multiple of 87795 and 87809