What is the Greatest Common Factor of 46254 and 46260?

Greatest common factor (GCF) of 46254 and 46260 is 6.

GCF(46254,46260) = 6

We will now calculate the prime factors of 46254 and 46260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46254 and 46260.

How to find the GCF of 46254 and 46260?

We will first find the prime factorization of 46254 and 46260. After we will calculate the factors of 46254 and 46260 and find the biggest common factor number .

Step-1: Prime Factorization of 46254

Prime factors of 46254 are 2, 3, 13, 593. Prime factorization of 46254 in exponential form is:

46254 = 2¹ × 3¹ × 13¹ × 593¹

Step-2: 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-3: Factors of 46254

List of positive integer factors of 46254 that divides 46254 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 593, 1186, 1779, 3558, 7709, 15418, 23127

Step-4: Factors of 46260

List of positive integer factors of 46260 that divides 46254 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46254 and 46260. The biggest common factor number is the GCF number.
So the greatest common factor 46254 and 46260 is 6.

Also check out the Least Common Multiple of 46254 and 46260