What is the Greatest Common Factor of 4623 and 4629?

Greatest common factor (GCF) of 4623 and 4629 is 3.

GCF(4623,4629) = 3

We will now calculate the prime factors of 4623 and 4629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4623 and 4629.

How to find the GCF of 4623 and 4629?

We will first find the prime factorization of 4623 and 4629. After we will calculate the factors of 4623 and 4629 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 4629

Prime factors of 4629 are 3, 1543. Prime factorization of 4629 in exponential form is:

4629 = 3¹ × 1543¹

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 4629

List of positive integer factors of 4629 that divides 4623 without a remainder.

1, 3, 1543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4623 and 4629. The biggest common factor number is the GCF number.
So the greatest common factor 4623 and 4629 is 3.

Also check out the Least Common Multiple of 4623 and 4629