What is the Greatest Common Factor of 46635 and 46650?

Greatest common factor (GCF) of 46635 and 46650 is 15.

GCF(46635,46650) = 15

We will now calculate the prime factors of 46635 and 46650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46635 and 46650.

How to find the GCF of 46635 and 46650?

We will first find the prime factorization of 46635 and 46650. After we will calculate the factors of 46635 and 46650 and find the biggest common factor number .

Step-1: Prime Factorization of 46635

Prime factors of 46635 are 3, 5, 3109. Prime factorization of 46635 in exponential form is:

46635 = 3¹ × 5¹ × 3109¹

Step-2: Prime Factorization of 46650

Prime factors of 46650 are 2, 3, 5, 311. Prime factorization of 46650 in exponential form is:

46650 = 2¹ × 3¹ × 5² × 311¹

Step-3: Factors of 46635

List of positive integer factors of 46635 that divides 46635 without a remainder.

1, 3, 5, 15, 3109, 9327, 15545

Step-4: Factors of 46650

List of positive integer factors of 46650 that divides 46635 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 311, 622, 933, 1555, 1866, 3110, 4665, 7775, 9330, 15550, 23325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46635 and 46650. The biggest common factor number is the GCF number.
So the greatest common factor 46635 and 46650 is 15.

Also check out the Least Common Multiple of 46635 and 46650