Greatest Common Factor of 17264 and 17269

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 17264, 17269 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17264 and 17269 is 1.

GCF(17264,17269) = 1

GCF of 17264 and 17269

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

GCF of:
and

Greatest Common Factor of 17264 and 17269

GCF of 17264 and 17269 is 1

Prime Factorization of 17264


2 17264
2 8632
2 4316
2 2158
13 1079
83 83
1

Prime factors of 17264 are 2,13,83. Prime factorization of 17264 in exponential form is:

17264 = 24×131×831

Prime Factorization of 17269


7 17269
2467 2467
1

Prime factors of 17269 are 7,2467. Prime factorization of 17269 in exponential form is:

17269 = 71×24671

∴ So by taking common prime factors GCF of 17264 and 17269 is 1

Greatest Common Factor of 17264 and 17269 by matching factors method

Factors of 17264

List of positive integer factors of 17264 that divides 17264 without a remainder.

1,2,4,8,13,16,26,52,83,104,166,208,332,664,1079,1328,2158,4316,8632,17264

Factors of 17269

List of positive integer factors of 17269 that divides 17269 without a remainder.

1,7,2467,17269

Greatest Common Factor

We found the factors and prime factorization of 17264 and 17269. The biggest common factor number is the GCF number.
So the greatest common factor 17264 and 17269 is 1.

Also check out the Least Common Multiple of 17264 and 17269

Properties of GCF 17264 and 17269

(i) The GCF of 17264 and 17269 is associative

GCF of 17264 and 17269 = GCF of 17269 and 17264

Related Greatest Common Factor of 17264

Related Greatest Common Factor of 17269

Frequently Asked Questions on GCF of 17264 and 17269

1. What is the GCF of 17264 and 17269?

Answer: GCF of 17264 and 17269 is 1.

2. What are the Factors of 17264?

Answer: Factors of 17264 are 1, 2, 4, 8, 13, 16, 26, 52, 83, 104, 166, 208, 332, 664, 1079, 1328, 2158, 4316, 8632, 17264. There are 20 integers that are factors of 17264. The greatest factor of 17264 is 17264.

3. What are the Factors of 17269?

Answer: Factors of 17269 are 1, 7, 2467, 17269. There are 4 integers that are factors of 17269. The greatest factor of 17269 is 17269.

4. How to Find the GCF of 17264 and 17269?

Answer:

Greatest Common Factor of 17264 and 17269 = 1

Step 1: Find the prime factorization of 17264

17264 = 2 x 2 x 2 x 2 x 13 x 83

Step 2: Find the prime factorization of 17269

17269 = 7 x 2467

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 17264 and 17269 is 1