What is the Greatest Common Factor of 87335 and 87345?

Greatest common factor (GCF) of 87335 and 87345 is 5.

GCF(87335,87345) = 5

We will now calculate the prime factors of 87335 and 87345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87335 and 87345.

How to find the GCF of 87335 and 87345?

We will first find the prime factorization of 87335 and 87345. After we will calculate the factors of 87335 and 87345 and find the biggest common factor number .

Step-1: Prime Factorization of 87335

Prime factors of 87335 are 5, 17467. Prime factorization of 87335 in exponential form is:

87335 = 5¹ × 17467¹

Step-2: Prime Factorization of 87345

Prime factors of 87345 are 3, 5, 647. Prime factorization of 87345 in exponential form is:

87345 = 3³ × 5¹ × 647¹

Step-3: Factors of 87335

List of positive integer factors of 87335 that divides 87335 without a remainder.

1, 5, 17467

Step-4: Factors of 87345

List of positive integer factors of 87345 that divides 87335 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 647, 1941, 3235, 5823, 9705, 17469, 29115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87335 and 87345. The biggest common factor number is the GCF number.
So the greatest common factor 87335 and 87345 is 5.

Also check out the Least Common Multiple of 87335 and 87345