What is the Greatest Common Factor of 87705 and 87721?

Greatest common factor (GCF) of 87705 and 87721 is 1.

GCF(87705,87721) = 1

We will now calculate the prime factors of 87705 and 87721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87705 and 87721.

How to find the GCF of 87705 and 87721?

We will first find the prime factorization of 87705 and 87721. After we will calculate the factors of 87705 and 87721 and find the biggest common factor number .

Step-1: Prime Factorization of 87705

Prime factors of 87705 are 3, 5, 1949. Prime factorization of 87705 in exponential form is:

87705 = 3² × 5¹ × 1949¹

Step-2: Prime Factorization of 87721

Prime factors of 87721 are 87721. Prime factorization of 87721 in exponential form is:

87721 = 87721¹

Step-3: Factors of 87705

List of positive integer factors of 87705 that divides 87705 without a remainder.

1, 3, 5, 9, 15, 45, 1949, 5847, 9745, 17541, 29235

Step-4: Factors of 87721

List of positive integer factors of 87721 that divides 87705 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87705 and 87721. The biggest common factor number is the GCF number.
So the greatest common factor 87705 and 87721 is 1.

Also check out the Least Common Multiple of 87705 and 87721