Greatest Common Factor of 4684 and 4688

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 4684, 4688 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4684 and 4688 is 4.

GCF(4684,4688) = 4

GCF of 4684 and 4688

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

GCF of:
and

Greatest Common Factor of 4684 and 4688

GCF of 4684 and 4688 is 4

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

Prime Factorization of 4688


2 4688
2 2344
2 1172
2 586
293 293
1

Prime factors of 4688 are 2,293. Prime factorization of 4688 in exponential form is:

4688 = 24×2931

∴ So by taking common prime factors GCF of 4684 and 4688 is 4

Greatest Common Factor of 4684 and 4688 by matching factors method

Factors of 4684

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

1,2,4,1171,2342,4684

Factors of 4688

List of positive integer factors of 4688 that divides 4688 without a remainder.

1,2,4,8,16,293,586,1172,2344,4688

Greatest Common Factor

We found the factors and prime factorization of 4684 and 4688. The biggest common factor number is the GCF number.
So the greatest common factor 4684 and 4688 is 4.

Also check out the Least Common Multiple of 4684 and 4688

Properties of GCF 4684 and 4688

(i) The GCF of 4684 and 4688 is associative

GCF of 4684 and 4688 = GCF of 4688 and 4684

Related Greatest Common Factor of 4684

Related Greatest Common Factor of 4688

Frequently Asked Questions on GCF of 4684 and 4688

1. What is the GCF of 4684 and 4688?

Answer: GCF of 4684 and 4688 is 4.

2. 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.

3. What are the Factors of 4688?

Answer: Factors of 4688 are 1, 2, 4, 8, 16, 293, 586, 1172, 2344, 4688. There are 10 integers that are factors of 4688. The greatest factor of 4688 is 4688.

4. How to Find the GCF of 4684 and 4688?

Answer:

Greatest Common Factor of 4684 and 4688 = 4

Step 1: Find the prime factorization of 4684

4684 = 2 x 2 x 1171

Step 2: Find the prime factorization of 4688

4688 = 2 x 2 x 2 x 2 x 293

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 4684 and 4688 is 4