What is the Greatest Common Factor of 80304 and 80324?

Greatest common factor (GCF) of 80304 and 80324 is 4.

GCF(80304,80324) = 4

We will now calculate the prime factors of 80304 and 80324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80304 and 80324.

How to find the GCF of 80304 and 80324?

We will first find the prime factorization of 80304 and 80324. After we will calculate the factors of 80304 and 80324 and find the biggest common factor number .

Step-1: Prime Factorization of 80304

Prime factors of 80304 are 2, 3, 7, 239. Prime factorization of 80304 in exponential form is:

80304 = 2⁴ × 3¹ × 7¹ × 239¹

Step-2: Prime Factorization of 80324

Prime factors of 80324 are 2, 43, 467. Prime factorization of 80324 in exponential form is:

80324 = 2² × 43¹ × 467¹

Step-3: Factors of 80304

List of positive integer factors of 80304 that divides 80304 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 239, 336, 478, 717, 956, 1434, 1673, 1912, 2868, 3346, 3824, 5019, 5736, 6692, 10038, 11472, 13384, 20076, 26768, 40152

Step-4: Factors of 80324

List of positive integer factors of 80324 that divides 80304 without a remainder.

1, 2, 4, 43, 86, 172, 467, 934, 1868, 20081, 40162

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80304 and 80324. The biggest common factor number is the GCF number.
So the greatest common factor 80304 and 80324 is 4.

Also check out the Least Common Multiple of 80304 and 80324