What is the Greatest Common Factor of 80304 and 80316?

Greatest common factor (GCF) of 80304 and 80316 is 12.

GCF(80304,80316) = 12

We will now calculate the prime factors of 80304 and 80316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80304 and 80316.

How to find the GCF of 80304 and 80316?

We will first find the prime factorization of 80304 and 80316. After we will calculate the factors of 80304 and 80316 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 80316

Prime factors of 80316 are 2, 3, 23, 97. Prime factorization of 80316 in exponential form is:

80316 = 2² × 3² × 23¹ × 97¹

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 80316

List of positive integer factors of 80316 that divides 80304 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 97, 138, 194, 207, 276, 291, 388, 414, 582, 828, 873, 1164, 1746, 2231, 3492, 4462, 6693, 8924, 13386, 20079, 26772, 40158

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80304 and 80316. The biggest common factor number is the GCF number.
So the greatest common factor 80304 and 80316 is 12.

Also check out the Least Common Multiple of 80304 and 80316