What is the Greatest Common Factor of 87213 and 87222?

Greatest common factor (GCF) of 87213 and 87222 is 3.

GCF(87213,87222) = 3

We will now calculate the prime factors of 87213 and 87222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87213 and 87222.

How to find the GCF of 87213 and 87222?

We will first find the prime factorization of 87213 and 87222. After we will calculate the factors of 87213 and 87222 and find the biggest common factor number .

Step-1: Prime Factorization of 87213

Prime factors of 87213 are 3, 7, 4153. Prime factorization of 87213 in exponential form is:

87213 = 3¹ × 7¹ × 4153¹

Step-2: Prime Factorization of 87222

Prime factors of 87222 are 2, 3, 14537. Prime factorization of 87222 in exponential form is:

87222 = 2¹ × 3¹ × 14537¹

Step-3: Factors of 87213

List of positive integer factors of 87213 that divides 87213 without a remainder.

1, 3, 7, 21, 4153, 12459, 29071

Step-4: Factors of 87222

List of positive integer factors of 87222 that divides 87213 without a remainder.

1, 2, 3, 6, 14537, 29074, 43611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87213 and 87222. The biggest common factor number is the GCF number.
So the greatest common factor 87213 and 87222 is 3.

Also check out the Least Common Multiple of 87213 and 87222