Greatest Common Factor of 4634 and 4642

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 4634, 4642 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4634 and 4642 is 2.

GCF(4634,4642) = 2

GCF of 4634 and 4642

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

GCF of:
and

Greatest Common Factor of 4634 and 4642

GCF of 4634 and 4642 is 2

Prime Factorization of 4634


2 4634
7 2317
331 331
1

Prime factors of 4634 are 2,7,331. Prime factorization of 4634 in exponential form is:

4634 = 21×71×3311

Prime Factorization of 4642


2 4642
11 2321
211 211
1

Prime factors of 4642 are 2,11,211. Prime factorization of 4642 in exponential form is:

4642 = 21×111×2111

∴ So by taking common prime factors GCF of 4634 and 4642 is 2

Greatest Common Factor of 4634 and 4642 by matching factors method

Factors of 4634

List of positive integer factors of 4634 that divides 4634 without a remainder.

1,2,7,14,331,662,2317,4634

Factors of 4642

List of positive integer factors of 4642 that divides 4642 without a remainder.

1,2,11,22,211,422,2321,4642

Greatest Common Factor

We found the factors and prime factorization of 4634 and 4642. The biggest common factor number is the GCF number.
So the greatest common factor 4634 and 4642 is 2.

Also check out the Least Common Multiple of 4634 and 4642

Properties of GCF 4634 and 4642

(i) The GCF of 4634 and 4642 is associative

GCF of 4634 and 4642 = GCF of 4642 and 4634

Related Greatest Common Factor of 4634

Related Greatest Common Factor of 4642

Frequently Asked Questions on GCF of 4634 and 4642

1. What is the GCF of 4634 and 4642?

Answer: GCF of 4634 and 4642 is 2.

2. What are the Factors of 4634?

Answer: Factors of 4634 are 1, 2, 7, 14, 331, 662, 2317, 4634. There are 8 integers that are factors of 4634. The greatest factor of 4634 is 4634.

3. What are the Factors of 4642?

Answer: Factors of 4642 are 1, 2, 11, 22, 211, 422, 2321, 4642. There are 8 integers that are factors of 4642. The greatest factor of 4642 is 4642.

4. How to Find the GCF of 4634 and 4642?

Answer:

Greatest Common Factor of 4634 and 4642 = 2

Step 1: Find the prime factorization of 4634

4634 = 2 x 7 x 331

Step 2: Find the prime factorization of 4642

4642 = 2 x 11 x 211

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

GCF = 2

Step 4: Therefore, the greatest common factor of 4634 and 4642 is 2