What is the Greatest Common Factor of 87309 and 87329?

Greatest common factor (GCF) of 87309 and 87329 is 1.

GCF(87309,87329) = 1

We will now calculate the prime factors of 87309 and 87329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87309 and 87329.

How to find the GCF of 87309 and 87329?

We will first find the prime factorization of 87309 and 87329. After we will calculate the factors of 87309 and 87329 and find the biggest common factor number .

Step-1: Prime Factorization of 87309

Prime factors of 87309 are 3, 89, 109. Prime factorization of 87309 in exponential form is:

87309 = 3² × 89¹ × 109¹

Step-2: Prime Factorization of 87329

Prime factors of 87329 are 11, 17, 467. Prime factorization of 87329 in exponential form is:

87329 = 11¹ × 17¹ × 467¹

Step-3: Factors of 87309

List of positive integer factors of 87309 that divides 87309 without a remainder.

1, 3, 9, 89, 109, 267, 327, 801, 981, 9701, 29103

Step-4: Factors of 87329

List of positive integer factors of 87329 that divides 87309 without a remainder.

1, 11, 17, 187, 467, 5137, 7939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87309 and 87329. The biggest common factor number is the GCF number.
So the greatest common factor 87309 and 87329 is 1.

Also check out the Least Common Multiple of 87309 and 87329