What is the Greatest Common Factor of 87345 and 87365?

Greatest common factor (GCF) of 87345 and 87365 is 5.

GCF(87345,87365) = 5

We will now calculate the prime factors of 87345 and 87365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87345 and 87365.

How to find the GCF of 87345 and 87365?

We will first find the prime factorization of 87345 and 87365. After we will calculate the factors of 87345 and 87365 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87365

Prime factors of 87365 are 5, 101, 173. Prime factorization of 87365 in exponential form is:

87365 = 5¹ × 101¹ × 173¹

Step-3: Factors of 87345

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

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

Step-4: Factors of 87365

List of positive integer factors of 87365 that divides 87345 without a remainder.

1, 5, 101, 173, 505, 865, 17473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87345 and 87365. The biggest common factor number is the GCF number.
So the greatest common factor 87345 and 87365 is 5.

Also check out the Least Common Multiple of 87345 and 87365