Greatest Common Factor of 4617 and 4623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 4617, 4623 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4617 and 4623 is 3.

GCF(4617,4623) = 3

GCF of 4617 and 4623

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 4617 and 4623

GCF of 4617 and 4623 is 3

Prime Factorization of 4617


3 4617
3 1539
3 513
3 171
3 57
19 19
1

Prime factors of 4617 are 3,19. Prime factorization of 4617 in exponential form is:

4617 = 35×191

Prime Factorization of 4623


3 4623
23 1541
67 67
1

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

4623 = 31×231×671

∴ So by taking common prime factors GCF of 4617 and 4623 is 3

Greatest Common Factor of 4617 and 4623 by matching factors method

Factors of 4617

List of positive integer factors of 4617 that divides 4617 without a remainder.

1,3,9,19,27,57,81,171,243,513,1539,4617

Factors of 4623

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

1,3,23,67,69,201,1541,4623

Greatest Common Factor

We found the factors and prime factorization of 4617 and 4623. The biggest common factor number is the GCF number.
So the greatest common factor 4617 and 4623 is 3.

Also check out the Least Common Multiple of 4617 and 4623

Properties of GCF 4617 and 4623

(i) The GCF of 4617 and 4623 is associative

GCF of 4617 and 4623 = GCF of 4623 and 4617

Related Greatest Common Factor of 4617

Related Greatest Common Factor of 4623

Frequently Asked Questions on GCF of 4617 and 4623

1. What is the GCF of 4617 and 4623?

Answer: GCF of 4617 and 4623 is 3.

2. What are the Factors of 4617?

Answer: Factors of 4617 are 1, 3, 9, 19, 27, 57, 81, 171, 243, 513, 1539, 4617. There are 12 integers that are factors of 4617. The greatest factor of 4617 is 4617.

3. What are the Factors of 4623?

Answer: Factors of 4623 are 1, 3, 23, 67, 69, 201, 1541, 4623. There are 8 integers that are factors of 4623. The greatest factor of 4623 is 4623.

4. How to Find the GCF of 4617 and 4623?

Answer:

Greatest Common Factor of 4617 and 4623 = 3

Step 1: Find the prime factorization of 4617

4617 = 3 x 3 x 3 x 3 x 3 x 19

Step 2: Find the prime factorization of 4623

4623 = 3 x 23 x 67

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 4617 and 4623 is 3