What is the Greatest Common Factor of 46260 and 46278?

Greatest common factor (GCF) of 46260 and 46278 is 18.

GCF(46260,46278) = 18

We will now calculate the prime factors of 46260 and 46278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46260 and 46278.

How to find the GCF of 46260 and 46278?

We will first find the prime factorization of 46260 and 46278. After we will calculate the factors of 46260 and 46278 and find the biggest common factor number .

Step-1: Prime Factorization of 46260

Prime factors of 46260 are 2, 3, 5, 257. Prime factorization of 46260 in exponential form is:

46260 = 2² × 3² × 5¹ × 257¹

Step-2: 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-3: Factors of 46260

List of positive integer factors of 46260 that divides 46260 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 257, 514, 771, 1028, 1285, 1542, 2313, 2570, 3084, 3855, 4626, 5140, 7710, 9252, 11565, 15420, 23130

Step-4: Factors of 46278

List of positive integer factors of 46278 that divides 46260 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46260 and 46278. The biggest common factor number is the GCF number.
So the greatest common factor 46260 and 46278 is 18.

Also check out the Least Common Multiple of 46260 and 46278