What is the Greatest Common Factor of 87759 and 87771?

Greatest common factor (GCF) of 87759 and 87771 is 3.

GCF(87759,87771) = 3

We will now calculate the prime factors of 87759 and 87771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87759 and 87771.

How to find the GCF of 87759 and 87771?

We will first find the prime factorization of 87759 and 87771. After we will calculate the factors of 87759 and 87771 and find the biggest common factor number .

Step-1: Prime Factorization of 87759

Prime factors of 87759 are 3, 7, 199. Prime factorization of 87759 in exponential form is:

87759 = 3² × 7² × 199¹

Step-2: Prime Factorization of 87771

Prime factors of 87771 are 3, 17, 1721. Prime factorization of 87771 in exponential form is:

87771 = 3¹ × 17¹ × 1721¹

Step-3: Factors of 87759

List of positive integer factors of 87759 that divides 87759 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 199, 441, 597, 1393, 1791, 4179, 9751, 12537, 29253

Step-4: Factors of 87771

List of positive integer factors of 87771 that divides 87759 without a remainder.

1, 3, 17, 51, 1721, 5163, 29257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87759 and 87771. The biggest common factor number is the GCF number.
So the greatest common factor 87759 and 87771 is 3.

Also check out the Least Common Multiple of 87759 and 87771