Greatest Common Factor of 4611 and 4617

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 4611, 4617 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4611 and 4617 is 3.

GCF(4611,4617) = 3

GCF of 4611 and 4617

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

GCF of:
and

Greatest Common Factor of 4611 and 4617

GCF of 4611 and 4617 is 3

Prime Factorization of 4611


3 4611
29 1537
53 53
1

Prime factors of 4611 are 3,29,53. Prime factorization of 4611 in exponential form is:

4611 = 31×291×531

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

∴ So by taking common prime factors GCF of 4611 and 4617 is 3

Greatest Common Factor of 4611 and 4617 by matching factors method

Factors of 4611

List of positive integer factors of 4611 that divides 4611 without a remainder.

1,3,29,53,87,159,1537,4611

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

Greatest Common Factor

We found the factors and prime factorization of 4611 and 4617. The biggest common factor number is the GCF number.
So the greatest common factor 4611 and 4617 is 3.

Also check out the Least Common Multiple of 4611 and 4617

Properties of GCF 4611 and 4617

(i) The GCF of 4611 and 4617 is associative

GCF of 4611 and 4617 = GCF of 4617 and 4611

Related Greatest Common Factor of 4611

Related Greatest Common Factor of 4617

Frequently Asked Questions on GCF of 4611 and 4617

1. What is the GCF of 4611 and 4617?

Answer: GCF of 4611 and 4617 is 3.

2. What are the Factors of 4611?

Answer: Factors of 4611 are 1, 3, 29, 53, 87, 159, 1537, 4611. There are 8 integers that are factors of 4611. The greatest factor of 4611 is 4611.

3. 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.

4. How to Find the GCF of 4611 and 4617?

Answer:

Greatest Common Factor of 4611 and 4617 = 3

Step 1: Find the prime factorization of 4611

4611 = 3 x 29 x 53

Step 2: Find the prime factorization of 4617

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

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 4611 and 4617 is 3