What is the Greatest Common Factor of 86340 and 86349?

Greatest common factor (GCF) of 86340 and 86349 is 3.

GCF(86340,86349) = 3

We will now calculate the prime factors of 86340 and 86349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86340 and 86349.

How to find the GCF of 86340 and 86349?

We will first find the prime factorization of 86340 and 86349. After we will calculate the factors of 86340 and 86349 and find the biggest common factor number .

Step-1: Prime Factorization of 86340

Prime factors of 86340 are 2, 3, 5, 1439. Prime factorization of 86340 in exponential form is:

86340 = 2² × 3¹ × 5¹ × 1439¹

Step-2: Prime Factorization of 86349

Prime factors of 86349 are 3, 107, 269. Prime factorization of 86349 in exponential form is:

86349 = 3¹ × 107¹ × 269¹

Step-3: Factors of 86340

List of positive integer factors of 86340 that divides 86340 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1439, 2878, 4317, 5756, 7195, 8634, 14390, 17268, 21585, 28780, 43170

Step-4: Factors of 86349

List of positive integer factors of 86349 that divides 86340 without a remainder.

1, 3, 107, 269, 321, 807, 28783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86340 and 86349. The biggest common factor number is the GCF number.
So the greatest common factor 86340 and 86349 is 3.

Also check out the Least Common Multiple of 86340 and 86349