Greatest Common Factor of 4676 and 4684

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 4676, 4684 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4676 and 4684 is 4.

GCF(4676,4684) = 4

GCF of 4676 and 4684

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

GCF of:
and

Greatest Common Factor of 4676 and 4684

GCF of 4676 and 4684 is 4

Prime Factorization of 4676


2 4676
2 2338
7 1169
167 167
1

Prime factors of 4676 are 2,7,167. Prime factorization of 4676 in exponential form is:

4676 = 22×71×1671

Prime Factorization of 4684


2 4684
2 2342
1171 1171
1

Prime factors of 4684 are 2,1171. Prime factorization of 4684 in exponential form is:

4684 = 22×11711

∴ So by taking common prime factors GCF of 4676 and 4684 is 4

Greatest Common Factor of 4676 and 4684 by matching factors method

Factors of 4676

List of positive integer factors of 4676 that divides 4676 without a remainder.

1,2,4,7,14,28,167,334,668,1169,2338,4676

Factors of 4684

List of positive integer factors of 4684 that divides 4684 without a remainder.

1,2,4,1171,2342,4684

Greatest Common Factor

We found the factors and prime factorization of 4676 and 4684. The biggest common factor number is the GCF number.
So the greatest common factor 4676 and 4684 is 4.

Also check out the Least Common Multiple of 4676 and 4684

Properties of GCF 4676 and 4684

(i) The GCF of 4676 and 4684 is associative

GCF of 4676 and 4684 = GCF of 4684 and 4676

Related Greatest Common Factor of 4676

Related Greatest Common Factor of 4684

Frequently Asked Questions on GCF of 4676 and 4684

1. What is the GCF of 4676 and 4684?

Answer: GCF of 4676 and 4684 is 4.

2. What are the Factors of 4676?

Answer: Factors of 4676 are 1, 2, 4, 7, 14, 28, 167, 334, 668, 1169, 2338, 4676. There are 12 integers that are factors of 4676. The greatest factor of 4676 is 4676.

3. What are the Factors of 4684?

Answer: Factors of 4684 are 1, 2, 4, 1171, 2342, 4684. There are 6 integers that are factors of 4684. The greatest factor of 4684 is 4684.

4. How to Find the GCF of 4676 and 4684?

Answer:

Greatest Common Factor of 4676 and 4684 = 4

Step 1: Find the prime factorization of 4676

4676 = 2 x 2 x 7 x 167

Step 2: Find the prime factorization of 4684

4684 = 2 x 2 x 1171

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 4676 and 4684 is 4