What is the Greatest Common Factor of 87304 and 87319?

Greatest common factor (GCF) of 87304 and 87319 is 1.

GCF(87304,87319) = 1

We will now calculate the prime factors of 87304 and 87319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87304 and 87319.

How to find the GCF of 87304 and 87319?

We will first find the prime factorization of 87304 and 87319. After we will calculate the factors of 87304 and 87319 and find the biggest common factor number .

Step-1: Prime Factorization of 87304

Prime factors of 87304 are 2, 7, 1559. Prime factorization of 87304 in exponential form is:

87304 = 2³ × 7¹ × 1559¹

Step-2: Prime Factorization of 87319

Prime factors of 87319 are 29, 3011. Prime factorization of 87319 in exponential form is:

87319 = 29¹ × 3011¹

Step-3: Factors of 87304

List of positive integer factors of 87304 that divides 87304 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1559, 3118, 6236, 10913, 12472, 21826, 43652

Step-4: Factors of 87319

List of positive integer factors of 87319 that divides 87304 without a remainder.

1, 29, 3011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87304 and 87319. The biggest common factor number is the GCF number.
So the greatest common factor 87304 and 87319 is 1.

Also check out the Least Common Multiple of 87304 and 87319