What is the Greatest Common Factor of 87717 and 87735?

Greatest common factor (GCF) of 87717 and 87735 is 3.

GCF(87717,87735) = 3

We will now calculate the prime factors of 87717 and 87735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87717 and 87735.

How to find the GCF of 87717 and 87735?

We will first find the prime factorization of 87717 and 87735. After we will calculate the factors of 87717 and 87735 and find the biggest common factor number .

Step-1: Prime Factorization of 87717

Prime factors of 87717 are 3, 7, 4177. Prime factorization of 87717 in exponential form is:

87717 = 3¹ × 7¹ × 4177¹

Step-2: Prime Factorization of 87735

Prime factors of 87735 are 3, 5, 5849. Prime factorization of 87735 in exponential form is:

87735 = 3¹ × 5¹ × 5849¹

Step-3: Factors of 87717

List of positive integer factors of 87717 that divides 87717 without a remainder.

1, 3, 7, 21, 4177, 12531, 29239

Step-4: Factors of 87735

List of positive integer factors of 87735 that divides 87717 without a remainder.

1, 3, 5, 15, 5849, 17547, 29245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87717 and 87735. The biggest common factor number is the GCF number.
So the greatest common factor 87717 and 87735 is 3.

Also check out the Least Common Multiple of 87717 and 87735