What is the Greatest Common Factor of 46296 and 46309?

Greatest common factor (GCF) of 46296 and 46309 is 1.

GCF(46296,46309) = 1

We will now calculate the prime factors of 46296 and 46309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46296 and 46309.

How to find the GCF of 46296 and 46309?

We will first find the prime factorization of 46296 and 46309. After we will calculate the factors of 46296 and 46309 and find the biggest common factor number .

Step-1: Prime Factorization of 46296

Prime factors of 46296 are 2, 3, 643. Prime factorization of 46296 in exponential form is:

46296 = 2³ × 3² × 643¹

Step-2: Prime Factorization of 46309

Prime factors of 46309 are 46309. Prime factorization of 46309 in exponential form is:

46309 = 46309¹

Step-3: Factors of 46296

List of positive integer factors of 46296 that divides 46296 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 643, 1286, 1929, 2572, 3858, 5144, 5787, 7716, 11574, 15432, 23148

Step-4: Factors of 46309

List of positive integer factors of 46309 that divides 46296 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46296 and 46309. The biggest common factor number is the GCF number.
So the greatest common factor 46296 and 46309 is 1.

Also check out the Least Common Multiple of 46296 and 46309