What is the Greatest Common Factor of 4623 and 4635?

Greatest common factor (GCF) of 4623 and 4635 is 3.

GCF(4623,4635) = 3

We will now calculate the prime factors of 4623 and 4635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4623 and 4635.

How to find the GCF of 4623 and 4635?

We will first find the prime factorization of 4623 and 4635. After we will calculate the factors of 4623 and 4635 and find the biggest common factor number .

Step-1: Prime Factorization of 4623

Prime factors of 4623 are 3, 23, 67. Prime factorization of 4623 in exponential form is:

4623 = 3¹ × 23¹ × 67¹

Step-2: Prime Factorization of 4635

Prime factors of 4635 are 3, 5, 103. Prime factorization of 4635 in exponential form is:

4635 = 3² × 5¹ × 103¹

Step-3: Factors of 4623

List of positive integer factors of 4623 that divides 4623 without a remainder.

1, 3, 23, 67, 69, 201, 1541

Step-4: Factors of 4635

List of positive integer factors of 4635 that divides 4623 without a remainder.

1, 3, 5, 9, 15, 45, 103, 309, 515, 927, 1545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4623 and 4635. The biggest common factor number is the GCF number.
So the greatest common factor 4623 and 4635 is 3.

Also check out the Least Common Multiple of 4623 and 4635