What is the Greatest Common Factor of 87204 and 87218?

Greatest common factor (GCF) of 87204 and 87218 is 2.

GCF(87204,87218) = 2

We will now calculate the prime factors of 87204 and 87218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87204 and 87218.

How to find the GCF of 87204 and 87218?

We will first find the prime factorization of 87204 and 87218. After we will calculate the factors of 87204 and 87218 and find the biggest common factor number .

Step-1: Prime Factorization of 87204

Prime factors of 87204 are 2, 3, 13, 43. Prime factorization of 87204 in exponential form is:

87204 = 2² × 3¹ × 13² × 43¹

Step-2: Prime Factorization of 87218

Prime factors of 87218 are 2, 43609. Prime factorization of 87218 in exponential form is:

87218 = 2¹ × 43609¹

Step-3: Factors of 87204

List of positive integer factors of 87204 that divides 87204 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 43, 52, 78, 86, 129, 156, 169, 172, 258, 338, 507, 516, 559, 676, 1014, 1118, 1677, 2028, 2236, 3354, 6708, 7267, 14534, 21801, 29068, 43602

Step-4: Factors of 87218

List of positive integer factors of 87218 that divides 87204 without a remainder.

1, 2, 43609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87204 and 87218. The biggest common factor number is the GCF number.
So the greatest common factor 87204 and 87218 is 2.

Also check out the Least Common Multiple of 87204 and 87218