What is the Greatest Common Factor of 87759 and 87777?

Greatest common factor (GCF) of 87759 and 87777 is 9.

GCF(87759,87777) = 9

We will now calculate the prime factors of 87759 and 87777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87759 and 87777.

How to find the GCF of 87759 and 87777?

We will first find the prime factorization of 87759 and 87777. After we will calculate the factors of 87759 and 87777 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 87777

Prime factors of 87777 are 3, 3251. Prime factorization of 87777 in exponential form is:

87777 = 3³ × 3251¹

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 87777

List of positive integer factors of 87777 that divides 87759 without a remainder.

1, 3, 9, 27, 3251, 9753, 29259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87759 and 87777. The biggest common factor number is the GCF number.
So the greatest common factor 87759 and 87777 is 9.

Also check out the Least Common Multiple of 87759 and 87777