What is the Greatest Common Factor of 80304 and 80311?

Greatest common factor (GCF) of 80304 and 80311 is 7.

GCF(80304,80311) = 7

We will now calculate the prime factors of 80304 and 80311, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80304 and 80311.

How to find the GCF of 80304 and 80311?

We will first find the prime factorization of 80304 and 80311. After we will calculate the factors of 80304 and 80311 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 80311

Prime factors of 80311 are 7, 11, 149. Prime factorization of 80311 in exponential form is:

80311 = 7² × 11¹ × 149¹

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 80311

List of positive integer factors of 80311 that divides 80304 without a remainder.

1, 7, 11, 49, 77, 149, 539, 1043, 1639, 7301, 11473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80304 and 80311. The biggest common factor number is the GCF number.
So the greatest common factor 80304 and 80311 is 7.

Also check out the Least Common Multiple of 80304 and 80311