What is the Greatest Common Factor of 80340 and 80349?

Greatest common factor (GCF) of 80340 and 80349 is 3.

GCF(80340,80349) = 3

We will now calculate the prime factors of 80340 and 80349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80340 and 80349.

How to find the GCF of 80340 and 80349?

We will first find the prime factorization of 80340 and 80349. After we will calculate the factors of 80340 and 80349 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80349

Prime factors of 80349 are 3, 26783. Prime factorization of 80349 in exponential form is:

80349 = 3¹ × 26783¹

Step-3: Factors of 80340

List of positive integer factors of 80340 that divides 80340 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

Step-4: Factors of 80349

List of positive integer factors of 80349 that divides 80340 without a remainder.

1, 3, 26783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80340 and 80349. The biggest common factor number is the GCF number.
So the greatest common factor 80340 and 80349 is 3.

Also check out the Least Common Multiple of 80340 and 80349