What is the Greatest Common Factor of 87198 and 87213?

Greatest common factor (GCF) of 87198 and 87213 is 3.

GCF(87198,87213) = 3

We will now calculate the prime factors of 87198 and 87213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87198 and 87213.

How to find the GCF of 87198 and 87213?

We will first find the prime factorization of 87198 and 87213. After we will calculate the factors of 87198 and 87213 and find the biggest common factor number .

Step-1: Prime Factorization of 87198

Prime factors of 87198 are 2, 3, 14533. Prime factorization of 87198 in exponential form is:

87198 = 2¹ × 3¹ × 14533¹

Step-2: 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-3: Factors of 87198

List of positive integer factors of 87198 that divides 87198 without a remainder.

1, 2, 3, 6, 14533, 29066, 43599

Step-4: Factors of 87213

List of positive integer factors of 87213 that divides 87198 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87198 and 87213. The biggest common factor number is the GCF number.
So the greatest common factor 87198 and 87213 is 3.

Also check out the Least Common Multiple of 87198 and 87213