What is the Greatest Common Factor of 87345 and 87350?

Greatest common factor (GCF) of 87345 and 87350 is 5.

GCF(87345,87350) = 5

We will now calculate the prime factors of 87345 and 87350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87345 and 87350.

How to find the GCF of 87345 and 87350?

We will first find the prime factorization of 87345 and 87350. After we will calculate the factors of 87345 and 87350 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 87350

Prime factors of 87350 are 2, 5, 1747. Prime factorization of 87350 in exponential form is:

87350 = 2¹ × 5² × 1747¹

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 87350

List of positive integer factors of 87350 that divides 87345 without a remainder.

1, 2, 5, 10, 25, 50, 1747, 3494, 8735, 17470, 43675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87345 and 87350. The biggest common factor number is the GCF number.
So the greatest common factor 87345 and 87350 is 5.

Also check out the Least Common Multiple of 87345 and 87350