What is the Greatest Common Factor of 46530 and 46535?

Greatest common factor (GCF) of 46530 and 46535 is 5.

GCF(46530,46535) = 5

We will now calculate the prime factors of 46530 and 46535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46530 and 46535.

How to find the GCF of 46530 and 46535?

We will first find the prime factorization of 46530 and 46535. After we will calculate the factors of 46530 and 46535 and find the biggest common factor number .

Step-1: Prime Factorization of 46530

Prime factors of 46530 are 2, 3, 5, 11, 47. Prime factorization of 46530 in exponential form is:

46530 = 2¹ × 3² × 5¹ × 11¹ × 47¹

Step-2: Prime Factorization of 46535

Prime factors of 46535 are 5, 41, 227. Prime factorization of 46535 in exponential form is:

46535 = 5¹ × 41¹ × 227¹

Step-3: Factors of 46530

List of positive integer factors of 46530 that divides 46530 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 47, 55, 66, 90, 94, 99, 110, 141, 165, 198, 235, 282, 330, 423, 470, 495, 517, 705, 846, 990, 1034, 1410, 1551, 2115, 2585, 3102, 4230, 4653, 5170, 7755, 9306, 15510, 23265

Step-4: Factors of 46535

List of positive integer factors of 46535 that divides 46530 without a remainder.

1, 5, 41, 205, 227, 1135, 9307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46530 and 46535. The biggest common factor number is the GCF number.
So the greatest common factor 46530 and 46535 is 5.

Also check out the Least Common Multiple of 46530 and 46535