What is the Greatest Common Factor of 80304 and 80320?

Greatest common factor (GCF) of 80304 and 80320 is 16.

GCF(80304,80320) = 16

We will now calculate the prime factors of 80304 and 80320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80304 and 80320.

How to find the GCF of 80304 and 80320?

We will first find the prime factorization of 80304 and 80320. After we will calculate the factors of 80304 and 80320 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 80320

Prime factors of 80320 are 2, 5, 251. Prime factorization of 80320 in exponential form is:

80320 = 2⁶ × 5¹ × 251¹

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 80320

List of positive integer factors of 80320 that divides 80304 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 251, 320, 502, 1004, 1255, 2008, 2510, 4016, 5020, 8032, 10040, 16064, 20080, 40160

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80304 and 80320. The biggest common factor number is the GCF number.
So the greatest common factor 80304 and 80320 is 16.

Also check out the Least Common Multiple of 80304 and 80320