What is the Greatest Common Factor of 87195 and 87213?

Greatest common factor (GCF) of 87195 and 87213 is 3.

GCF(87195,87213) = 3

We will now calculate the prime factors of 87195 and 87213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87195 and 87213.

How to find the GCF of 87195 and 87213?

We will first find the prime factorization of 87195 and 87213. After we will calculate the factors of 87195 and 87213 and find the biggest common factor number .

Step-1: Prime Factorization of 87195

Prime factors of 87195 are 3, 5, 5813. Prime factorization of 87195 in exponential form is:

87195 = 3¹ × 5¹ × 5813¹

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 87195

List of positive integer factors of 87195 that divides 87195 without a remainder.

1, 3, 5, 15, 5813, 17439, 29065

Step-4: Factors of 87213

List of positive integer factors of 87213 that divides 87195 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87195 and 87213. The biggest common factor number is the GCF number.
So the greatest common factor 87195 and 87213 is 3.

Also check out the Least Common Multiple of 87195 and 87213