What is the Greatest Common Factor of 46629 and 46635?

Greatest common factor (GCF) of 46629 and 46635 is 3.

GCF(46629,46635) = 3

We will now calculate the prime factors of 46629 and 46635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46629 and 46635.

How to find the GCF of 46629 and 46635?

We will first find the prime factorization of 46629 and 46635. After we will calculate the factors of 46629 and 46635 and find the biggest common factor number .

Step-1: Prime Factorization of 46629

Prime factors of 46629 are 3, 11, 157. Prime factorization of 46629 in exponential form is:

46629 = 3³ × 11¹ × 157¹

Step-2: 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-3: Factors of 46629

List of positive integer factors of 46629 that divides 46629 without a remainder.

1, 3, 9, 11, 27, 33, 99, 157, 297, 471, 1413, 1727, 4239, 5181, 15543

Step-4: Factors of 46635

List of positive integer factors of 46635 that divides 46629 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46629 and 46635. The biggest common factor number is the GCF number.
So the greatest common factor 46629 and 46635 is 3.

Also check out the Least Common Multiple of 46629 and 46635