Greatest Common Factor of 4606 and 4613

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 4606, 4613 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4606 and 4613 is 7.

GCF(4606,4613) = 7

GCF of 4606 and 4613

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

GCF of:
and

Greatest Common Factor of 4606 and 4613

GCF of 4606 and 4613 is 7

Prime Factorization of 4606


2 4606
7 2303
7 329
47 47
1

Prime factors of 4606 are 2,7,47. Prime factorization of 4606 in exponential form is:

4606 = 21×72×471

Prime Factorization of 4613


7 4613
659 659
1

Prime factors of 4613 are 7,659. Prime factorization of 4613 in exponential form is:

4613 = 71×6591

∴ So by taking common prime factors GCF of 4606 and 4613 is 7

Greatest Common Factor of 4606 and 4613 by matching factors method

Factors of 4606

List of positive integer factors of 4606 that divides 4606 without a remainder.

1,2,7,14,47,49,94,98,329,658,2303,4606

Factors of 4613

List of positive integer factors of 4613 that divides 4613 without a remainder.

1,7,659,4613

Greatest Common Factor

We found the factors and prime factorization of 4606 and 4613. The biggest common factor number is the GCF number.
So the greatest common factor 4606 and 4613 is 7.

Also check out the Least Common Multiple of 4606 and 4613

Properties of GCF 4606 and 4613

(i) The GCF of 4606 and 4613 is associative

GCF of 4606 and 4613 = GCF of 4613 and 4606

Related Greatest Common Factor of 4606

Related Greatest Common Factor of 4613

Frequently Asked Questions on GCF of 4606 and 4613

1. What is the GCF of 4606 and 4613?

Answer: GCF of 4606 and 4613 is 7.

2. What are the Factors of 4606?

Answer: Factors of 4606 are 1, 2, 7, 14, 47, 49, 94, 98, 329, 658, 2303, 4606. There are 12 integers that are factors of 4606. The greatest factor of 4606 is 4606.

3. What are the Factors of 4613?

Answer: Factors of 4613 are 1, 7, 659, 4613. There are 4 integers that are factors of 4613. The greatest factor of 4613 is 4613.

4. How to Find the GCF of 4606 and 4613?

Answer:

Greatest Common Factor of 4606 and 4613 = 7

Step 1: Find the prime factorization of 4606

4606 = 2 x 7 x 7 x 47

Step 2: Find the prime factorization of 4613

4613 = 7 x 659

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

GCF = 7

Step 4: Therefore, the greatest common factor of 4606 and 4613 is 7