What is the Greatest Common Factor of 46278 and 46296?

Greatest common factor (GCF) of 46278 and 46296 is 18.

GCF(46278,46296) = 18

We will now calculate the prime factors of 46278 and 46296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46278 and 46296.

How to find the GCF of 46278 and 46296?

We will first find the prime factorization of 46278 and 46296. After we will calculate the factors of 46278 and 46296 and find the biggest common factor number .

Step-1: Prime Factorization of 46278

Prime factors of 46278 are 2, 3, 857. Prime factorization of 46278 in exponential form is:

46278 = 2¹ × 3³ × 857¹

Step-2: 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-3: Factors of 46278

List of positive integer factors of 46278 that divides 46278 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 857, 1714, 2571, 5142, 7713, 15426, 23139

Step-4: Factors of 46296

List of positive integer factors of 46296 that divides 46278 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46278 and 46296. The biggest common factor number is the GCF number.
So the greatest common factor 46278 and 46296 is 18.

Also check out the Least Common Multiple of 46278 and 46296