Greatest Common Factor of 17262 and 17268

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 17262, 17268 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17262 and 17268 is 6.

GCF(17262,17268) = 6

GCF of 17262 and 17268

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

GCF of:
and

Greatest Common Factor of 17262 and 17268

GCF of 17262 and 17268 is 6

Prime Factorization of 17262


2 17262
3 8631
3 2877
7 959
137 137
1

Prime factors of 17262 are 2,3,7,137. Prime factorization of 17262 in exponential form is:

17262 = 21×32×71×1371

Prime Factorization of 17268


2 17268
2 8634
3 4317
1439 1439
1

Prime factors of 17268 are 2,3,1439. Prime factorization of 17268 in exponential form is:

17268 = 22×31×14391

∴ So by taking common prime factors GCF of 17262 and 17268 is 6

Greatest Common Factor of 17262 and 17268 by matching factors method

Factors of 17262

List of positive integer factors of 17262 that divides 17262 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126,137,274,411,822,959,1233,1918,2466,2877,5754,8631,17262

Factors of 17268

List of positive integer factors of 17268 that divides 17268 without a remainder.

1,2,3,4,6,12,1439,2878,4317,5756,8634,17268

Greatest Common Factor

We found the factors and prime factorization of 17262 and 17268. The biggest common factor number is the GCF number.
So the greatest common factor 17262 and 17268 is 6.

Also check out the Least Common Multiple of 17262 and 17268

Properties of GCF 17262 and 17268

(i) The GCF of 17262 and 17268 is associative

GCF of 17262 and 17268 = GCF of 17268 and 17262

Related Greatest Common Factor of 17262

Related Greatest Common Factor of 17268

Frequently Asked Questions on GCF of 17262 and 17268

1. What is the GCF of 17262 and 17268?

Answer: GCF of 17262 and 17268 is 6.

2. What are the Factors of 17262?

Answer: Factors of 17262 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 137, 274, 411, 822, 959, 1233, 1918, 2466, 2877, 5754, 8631, 17262. There are 24 integers that are factors of 17262. The greatest factor of 17262 is 17262.

3. What are the Factors of 17268?

Answer: Factors of 17268 are 1, 2, 3, 4, 6, 12, 1439, 2878, 4317, 5756, 8634, 17268. There are 12 integers that are factors of 17268. The greatest factor of 17268 is 17268.

4. How to Find the GCF of 17262 and 17268?

Answer:

Greatest Common Factor of 17262 and 17268 = 6

Step 1: Find the prime factorization of 17262

17262 = 2 x 3 x 3 x 7 x 137

Step 2: Find the prime factorization of 17268

17268 = 2 x 2 x 3 x 1439

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 17262 and 17268 is 6