Greatest Common Factor of 4609 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 4609, 4617 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4609 and 4617 is 1.

GCF(4609,4617) = 1

GCF of 4609 and 4617

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

GCF of:
and

Greatest Common Factor of 4609 and 4617

GCF of 4609 and 4617 is 1

Prime Factorization of 4609


11 4609
419 419
1

Prime factors of 4609 are 11,419. Prime factorization of 4609 in exponential form is:

4609 = 111×4191

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 4609 and 4617 is 1

Greatest Common Factor of 4609 and 4617 by matching factors method

Factors of 4609

List of positive integer factors of 4609 that divides 4609 without a remainder.

1,11,419,4609

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 4609 and 4617. The biggest common factor number is the GCF number.
So the greatest common factor 4609 and 4617 is 1.

Also check out the Least Common Multiple of 4609 and 4617

Properties of GCF 4609 and 4617

(i) The GCF of 4609 and 4617 is associative

GCF of 4609 and 4617 = GCF of 4617 and 4609

Related Greatest Common Factor of 4609

Related Greatest Common Factor of 4617

Frequently Asked Questions on GCF of 4609 and 4617

1. What is the GCF of 4609 and 4617?

Answer: GCF of 4609 and 4617 is 1.

2. What are the Factors of 4609?

Answer: Factors of 4609 are 1, 11, 419, 4609. There are 4 integers that are factors of 4609. The greatest factor of 4609 is 4609.

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 4609 and 4617?

Answer:

Greatest Common Factor of 4609 and 4617 = 1

Step 1: Find the prime factorization of 4609

4609 = 11 x 419

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 = = 1

Step 4: Therefore, the greatest common factor of 4609 and 4617 is 1