What is the Greatest Common Factor of 87915 and 87933?

Greatest common factor (GCF) of 87915 and 87933 is 3.

GCF(87915,87933) = 3

We will now calculate the prime factors of 87915 and 87933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87915 and 87933.

How to find the GCF of 87915 and 87933?

We will first find the prime factorization of 87915 and 87933. After we will calculate the factors of 87915 and 87933 and find the biggest common factor number .

Step-1: Prime Factorization of 87915

Prime factors of 87915 are 3, 5, 5861. Prime factorization of 87915 in exponential form is:

87915 = 3¹ × 5¹ × 5861¹

Step-2: Prime Factorization of 87933

Prime factors of 87933 are 3, 29311. Prime factorization of 87933 in exponential form is:

87933 = 3¹ × 29311¹

Step-3: Factors of 87915

List of positive integer factors of 87915 that divides 87915 without a remainder.

1, 3, 5, 15, 5861, 17583, 29305

Step-4: Factors of 87933

List of positive integer factors of 87933 that divides 87915 without a remainder.

1, 3, 29311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87915 and 87933. The biggest common factor number is the GCF number.
So the greatest common factor 87915 and 87933 is 3.

Also check out the Least Common Multiple of 87915 and 87933