What is the Greatest Common Factor of 46260 and 46269?

Greatest common factor (GCF) of 46260 and 46269 is 9.

GCF(46260,46269) = 9

We will now calculate the prime factors of 46260 and 46269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46260 and 46269.

How to find the GCF of 46260 and 46269?

We will first find the prime factorization of 46260 and 46269. After we will calculate the factors of 46260 and 46269 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 46269

Prime factors of 46269 are 3, 53, 97. Prime factorization of 46269 in exponential form is:

46269 = 3² × 53¹ × 97¹

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 46269

List of positive integer factors of 46269 that divides 46260 without a remainder.

1, 3, 9, 53, 97, 159, 291, 477, 873, 5141, 15423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46260 and 46269. The biggest common factor number is the GCF number.
So the greatest common factor 46260 and 46269 is 9.

Also check out the Least Common Multiple of 46260 and 46269