What is the Greatest Common Factor of 87709 and 87723?

Greatest common factor (GCF) of 87709 and 87723 is 1.

GCF(87709,87723) = 1

We will now calculate the prime factors of 87709 and 87723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87709 and 87723.

How to find the GCF of 87709 and 87723?

We will first find the prime factorization of 87709 and 87723. After we will calculate the factors of 87709 and 87723 and find the biggest common factor number .

Step-1: Prime Factorization of 87709

Prime factors of 87709 are 139, 631. Prime factorization of 87709 in exponential form is:

87709 = 139¹ × 631¹

Step-2: Prime Factorization of 87723

Prime factors of 87723 are 3, 19. Prime factorization of 87723 in exponential form is:

87723 = 3⁵ × 19²

Step-3: Factors of 87709

List of positive integer factors of 87709 that divides 87709 without a remainder.

1, 139, 631

Step-4: Factors of 87723

List of positive integer factors of 87723 that divides 87709 without a remainder.

1, 3, 9, 19, 27, 57, 81, 171, 243, 361, 513, 1083, 1539, 3249, 4617, 9747, 29241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87709 and 87723. The biggest common factor number is the GCF number.
So the greatest common factor 87709 and 87723 is 1.

Also check out the Least Common Multiple of 87709 and 87723