Greatest Common Factor of 5688 and 5691

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 5688, 5691 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5688 and 5691 is 3.

GCF(5688,5691) = 3

GCF of 5688 and 5691

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

GCF of:
and

Greatest Common Factor of 5688 and 5691

GCF of 5688 and 5691 is 3

Prime Factorization of 5688


2 5688
2 2844
2 1422
3 711
3 237
79 79
1

Prime factors of 5688 are 2,3,79. Prime factorization of 5688 in exponential form is:

5688 = 23×32×791

Prime Factorization of 5691


3 5691
7 1897
271 271
1

Prime factors of 5691 are 3,7,271. Prime factorization of 5691 in exponential form is:

5691 = 31×71×2711

∴ So by taking common prime factors GCF of 5688 and 5691 is 3

Greatest Common Factor of 5688 and 5691 by matching factors method

Factors of 5688

List of positive integer factors of 5688 that divides 5688 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,79,158,237,316,474,632,711,948,1422,1896,2844,5688

Factors of 5691

List of positive integer factors of 5691 that divides 5691 without a remainder.

1,3,7,21,271,813,1897,5691

Greatest Common Factor

We found the factors and prime factorization of 5688 and 5691. The biggest common factor number is the GCF number.
So the greatest common factor 5688 and 5691 is 3.

Also check out the Least Common Multiple of 5688 and 5691

Properties of GCF 5688 and 5691

(i) The GCF of 5688 and 5691 is associative

GCF of 5688 and 5691 = GCF of 5691 and 5688

Related Greatest Common Factor of 5688

Related Greatest Common Factor of 5691

Frequently Asked Questions on GCF of 5688 and 5691

1. What is the GCF of 5688 and 5691?

Answer: GCF of 5688 and 5691 is 3.

2. What are the Factors of 5688?

Answer: Factors of 5688 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 79, 158, 237, 316, 474, 632, 711, 948, 1422, 1896, 2844, 5688. There are 24 integers that are factors of 5688. The greatest factor of 5688 is 5688.

3. What are the Factors of 5691?

Answer: Factors of 5691 are 1, 3, 7, 21, 271, 813, 1897, 5691. There are 8 integers that are factors of 5691. The greatest factor of 5691 is 5691.

4. How to Find the GCF of 5688 and 5691?

Answer:

Greatest Common Factor of 5688 and 5691 = 3

Step 1: Find the prime factorization of 5688

5688 = 2 x 2 x 2 x 3 x 3 x 79

Step 2: Find the prime factorization of 5691

5691 = 3 x 7 x 271

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

GCF = 3

Step 4: Therefore, the greatest common factor of 5688 and 5691 is 3