What is the Greatest Common Factor of 80320 and 80324?

Greatest common factor (GCF) of 80320 and 80324 is 4.

GCF(80320,80324) = 4

We will now calculate the prime factors of 80320 and 80324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80320 and 80324.

How to find the GCF of 80320 and 80324?

We will first find the prime factorization of 80320 and 80324. After we will calculate the factors of 80320 and 80324 and find the biggest common factor number .

Step-1: 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-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 80320

List of positive integer factors of 80320 that divides 80320 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

Step-4: Factors of 80324

List of positive integer factors of 80324 that divides 80320 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 80320 and 80324. The biggest common factor number is the GCF number.
So the greatest common factor 80320 and 80324 is 4.

Also check out the Least Common Multiple of 80320 and 80324