What is the Greatest Common Factor of 46260 and 46268?

Greatest common factor (GCF) of 46260 and 46268 is 4.

GCF(46260,46268) = 4

We will now calculate the prime factors of 46260 and 46268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46260 and 46268.

How to find the GCF of 46260 and 46268?

We will first find the prime factorization of 46260 and 46268. After we will calculate the factors of 46260 and 46268 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 46268

Prime factors of 46268 are 2, 43, 269. Prime factorization of 46268 in exponential form is:

46268 = 2² × 43¹ × 269¹

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 46268

List of positive integer factors of 46268 that divides 46260 without a remainder.

1, 2, 4, 43, 86, 172, 269, 538, 1076, 11567, 23134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46260 and 46268. The biggest common factor number is the GCF number.
So the greatest common factor 46260 and 46268 is 4.

Also check out the Least Common Multiple of 46260 and 46268