What is the Greatest Common Factor of 46245 and 46260?

Greatest common factor (GCF) of 46245 and 46260 is 15.

GCF(46245,46260) = 15

We will now calculate the prime factors of 46245 and 46260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46245 and 46260.

How to find the GCF of 46245 and 46260?

We will first find the prime factorization of 46245 and 46260. After we will calculate the factors of 46245 and 46260 and find the biggest common factor number .

Step-1: Prime Factorization of 46245

Prime factors of 46245 are 3, 5, 3083. Prime factorization of 46245 in exponential form is:

46245 = 3¹ × 5¹ × 3083¹

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 46245

List of positive integer factors of 46245 that divides 46245 without a remainder.

1, 3, 5, 15, 3083, 9249, 15415

Step-4: Factors of 46260

List of positive integer factors of 46260 that divides 46245 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 46245 and 46260. The biggest common factor number is the GCF number.
So the greatest common factor 46245 and 46260 is 15.

Also check out the Least Common Multiple of 46245 and 46260