What is the Greatest Common Factor of 87333 and 87351?

Greatest common factor (GCF) of 87333 and 87351 is 3.

GCF(87333,87351) = 3

We will now calculate the prime factors of 87333 and 87351, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87333 and 87351.

How to find the GCF of 87333 and 87351?

We will first find the prime factorization of 87333 and 87351. After we will calculate the factors of 87333 and 87351 and find the biggest common factor number .

Step-1: Prime Factorization of 87333

Prime factors of 87333 are 3, 43, 677. Prime factorization of 87333 in exponential form is:

87333 = 3¹ × 43¹ × 677¹

Step-2: Prime Factorization of 87351

Prime factors of 87351 are 3, 11, 2647. Prime factorization of 87351 in exponential form is:

87351 = 3¹ × 11¹ × 2647¹

Step-3: Factors of 87333

List of positive integer factors of 87333 that divides 87333 without a remainder.

1, 3, 43, 129, 677, 2031, 29111

Step-4: Factors of 87351

List of positive integer factors of 87351 that divides 87333 without a remainder.

1, 3, 11, 33, 2647, 7941, 29117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87333 and 87351. The biggest common factor number is the GCF number.
So the greatest common factor 87333 and 87351 is 3.

Also check out the Least Common Multiple of 87333 and 87351