Greatest Common Factor of 5288 and 5292

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 5288, 5292 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5288 and 5292 is 4.

GCF(5288,5292) = 4

GCF of 5288 and 5292

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

GCF of:
and

Greatest Common Factor of 5288 and 5292

GCF of 5288 and 5292 is 4

Prime Factorization of 5288


2 5288
2 2644
2 1322
661 661
1

Prime factors of 5288 are 2,661. Prime factorization of 5288 in exponential form is:

5288 = 23×6611

Prime Factorization of 5292


2 5292
2 2646
3 1323
3 441
3 147
7 49
7 7
1

Prime factors of 5292 are 2,3,7. Prime factorization of 5292 in exponential form is:

5292 = 22×33×72

∴ So by taking common prime factors GCF of 5288 and 5292 is 4

Greatest Common Factor of 5288 and 5292 by matching factors method

Factors of 5288

List of positive integer factors of 5288 that divides 5288 without a remainder.

1,2,4,8,661,1322,2644,5288

Factors of 5292

List of positive integer factors of 5292 that divides 5292 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,49,54,63,84,98,108,126,147,189,196,252,294,378,441,588,756,882,1323,1764,2646,5292

Greatest Common Factor

We found the factors and prime factorization of 5288 and 5292. The biggest common factor number is the GCF number.
So the greatest common factor 5288 and 5292 is 4.

Also check out the Least Common Multiple of 5288 and 5292

Properties of GCF 5288 and 5292

(i) The GCF of 5288 and 5292 is associative

GCF of 5288 and 5292 = GCF of 5292 and 5288

Related Greatest Common Factor of 5288

Related Greatest Common Factor of 5292

Frequently Asked Questions on GCF of 5288 and 5292

1. What is the GCF of 5288 and 5292?

Answer: GCF of 5288 and 5292 is 4.

2. What are the Factors of 5288?

Answer: Factors of 5288 are 1, 2, 4, 8, 661, 1322, 2644, 5288. There are 8 integers that are factors of 5288. The greatest factor of 5288 is 5288.

3. What are the Factors of 5292?

Answer: Factors of 5292 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 49, 54, 63, 84, 98, 108, 126, 147, 189, 196, 252, 294, 378, 441, 588, 756, 882, 1323, 1764, 2646, 5292. There are 36 integers that are factors of 5292. The greatest factor of 5292 is 5292.

4. How to Find the GCF of 5288 and 5292?

Answer:

Greatest Common Factor of 5288 and 5292 = 4

Step 1: Find the prime factorization of 5288

5288 = 2 x 2 x 2 x 661

Step 2: Find the prime factorization of 5292

5292 = 2 x 2 x 3 x 3 x 3 x 7 x 7

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 5288 and 5292 is 4