What is the Greatest Common Factor of 87204 and 87208?

Greatest common factor (GCF) of 87204 and 87208 is 4.

GCF(87204,87208) = 4

We will now calculate the prime factors of 87204 and 87208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87204 and 87208.

How to find the GCF of 87204 and 87208?

We will first find the prime factorization of 87204 and 87208. After we will calculate the factors of 87204 and 87208 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 87208

Prime factors of 87208 are 2, 11, 991. Prime factorization of 87208 in exponential form is:

87208 = 2³ × 11¹ × 991¹

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 87208

List of positive integer factors of 87208 that divides 87204 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 991, 1982, 3964, 7928, 10901, 21802, 43604

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87204 and 87208. The biggest common factor number is the GCF number.
So the greatest common factor 87204 and 87208 is 4.

Also check out the Least Common Multiple of 87204 and 87208