What is the Greatest Common Factor of 76204 and 76218?

Greatest common factor (GCF) of 76204 and 76218 is 2.

GCF(76204,76218) = 2

We will now calculate the prime factors of 76204 and 76218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76204 and 76218.

How to find the GCF of 76204 and 76218?

We will first find the prime factorization of 76204 and 76218. After we will calculate the factors of 76204 and 76218 and find the biggest common factor number .

Step-1: Prime Factorization of 76204

Prime factors of 76204 are 2, 19051. Prime factorization of 76204 in exponential form is:

76204 = 2² × 19051¹

Step-2: Prime Factorization of 76218

Prime factors of 76218 are 2, 3, 12703. Prime factorization of 76218 in exponential form is:

76218 = 2¹ × 3¹ × 12703¹

Step-3: Factors of 76204

List of positive integer factors of 76204 that divides 76204 without a remainder.

1, 2, 4, 19051, 38102

Step-4: Factors of 76218

List of positive integer factors of 76218 that divides 76204 without a remainder.

1, 2, 3, 6, 12703, 25406, 38109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76204 and 76218. The biggest common factor number is the GCF number.
So the greatest common factor 76204 and 76218 is 2.

Also check out the Least Common Multiple of 76204 and 76218