What is the Greatest Common Factor of 87702 and 87721?

Greatest common factor (GCF) of 87702 and 87721 is 1.

GCF(87702,87721) = 1

We will now calculate the prime factors of 87702 and 87721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87702 and 87721.

How to find the GCF of 87702 and 87721?

We will first find the prime factorization of 87702 and 87721. After we will calculate the factors of 87702 and 87721 and find the biggest common factor number .

Step-1: Prime Factorization of 87702

Prime factors of 87702 are 2, 3, 47, 311. Prime factorization of 87702 in exponential form is:

87702 = 2¹ × 3¹ × 47¹ × 311¹

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 87702

List of positive integer factors of 87702 that divides 87702 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282, 311, 622, 933, 1866, 14617, 29234, 43851

Step-4: Factors of 87721

List of positive integer factors of 87721 that divides 87702 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87702 and 87721. The biggest common factor number is the GCF number.
So the greatest common factor 87702 and 87721 is 1.

Also check out the Least Common Multiple of 87702 and 87721