What is the Greatest Common Factor of 80320 and 80340?

Greatest common factor (GCF) of 80320 and 80340 is 20.

GCF(80320,80340) = 20

We will now calculate the prime factors of 80320 and 80340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80320 and 80340.

How to find the GCF of 80320 and 80340?

We will first find the prime factorization of 80320 and 80340. After we will calculate the factors of 80320 and 80340 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 80340

Prime factors of 80340 are 2, 3, 5, 13, 103. Prime factorization of 80340 in exponential form is:

80340 = 2² × 3¹ × 5¹ × 13¹ × 103¹

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 80340

List of positive integer factors of 80340 that divides 80320 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 103, 130, 156, 195, 206, 260, 309, 390, 412, 515, 618, 780, 1030, 1236, 1339, 1545, 2060, 2678, 3090, 4017, 5356, 6180, 6695, 8034, 13390, 16068, 20085, 26780, 40170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80320 and 80340. The biggest common factor number is the GCF number.
So the greatest common factor 80320 and 80340 is 20.

Also check out the Least Common Multiple of 80320 and 80340