What is the Greatest Common Factor of 87365 and 87370?

Greatest common factor (GCF) of 87365 and 87370 is 5.

GCF(87365,87370) = 5

We will now calculate the prime factors of 87365 and 87370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87365 and 87370.

How to find the GCF of 87365 and 87370?

We will first find the prime factorization of 87365 and 87370. After we will calculate the factors of 87365 and 87370 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87370

Prime factors of 87370 are 2, 5, 8737. Prime factorization of 87370 in exponential form is:

87370 = 2¹ × 5¹ × 8737¹

Step-3: Factors of 87365

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

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

Step-4: Factors of 87370

List of positive integer factors of 87370 that divides 87365 without a remainder.

1, 2, 5, 10, 8737, 17474, 43685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87365 and 87370. The biggest common factor number is the GCF number.
So the greatest common factor 87365 and 87370 is 5.

Also check out the Least Common Multiple of 87365 and 87370