Greatest Common Factor of 5285 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 5285, 5292 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5285 and 5292 is 7.

GCF(5285,5292) = 7

GCF of 5285 and 5292

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

GCF of:
and

Greatest Common Factor of 5285 and 5292

GCF of 5285 and 5292 is 7

Prime Factorization of 5285


5 5285
7 1057
151 151
1

Prime factors of 5285 are 5,7,151. Prime factorization of 5285 in exponential form is:

5285 = 51×71×1511

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 5285 and 5292 is 7

Greatest Common Factor of 5285 and 5292 by matching factors method

Factors of 5285

List of positive integer factors of 5285 that divides 5285 without a remainder.

1,5,7,35,151,755,1057,5285

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 5285 and 5292. The biggest common factor number is the GCF number.
So the greatest common factor 5285 and 5292 is 7.

Also check out the Least Common Multiple of 5285 and 5292

Properties of GCF 5285 and 5292

(i) The GCF of 5285 and 5292 is associative

GCF of 5285 and 5292 = GCF of 5292 and 5285

Related Greatest Common Factor of 5285

Related Greatest Common Factor of 5292

Frequently Asked Questions on GCF of 5285 and 5292

1. What is the GCF of 5285 and 5292?

Answer: GCF of 5285 and 5292 is 7.

2. What are the Factors of 5285?

Answer: Factors of 5285 are 1, 5, 7, 35, 151, 755, 1057, 5285. There are 8 integers that are factors of 5285. The greatest factor of 5285 is 5285.

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 5285 and 5292?

Answer:

Greatest Common Factor of 5285 and 5292 = 7

Step 1: Find the prime factorization of 5285

5285 = 5 x 7 x 151

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 = 7

Step 4: Therefore, the greatest common factor of 5285 and 5292 is 7