Greatest Common Factor of 17260 and 17264

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 17260, 17264 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17260 and 17264 is 4.

GCF(17260,17264) = 4

GCF of 17260 and 17264

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

GCF of:
and

Greatest Common Factor of 17260 and 17264

GCF of 17260 and 17264 is 4

Prime Factorization of 17260


2 17260
2 8630
5 4315
863 863
1

Prime factors of 17260 are 2,5,863. Prime factorization of 17260 in exponential form is:

17260 = 22×51×8631

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

∴ So by taking common prime factors GCF of 17260 and 17264 is 4

Greatest Common Factor of 17260 and 17264 by matching factors method

Factors of 17260

List of positive integer factors of 17260 that divides 17260 without a remainder.

1,2,4,5,10,20,863,1726,3452,4315,8630,17260

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

Greatest Common Factor

We found the factors and prime factorization of 17260 and 17264. The biggest common factor number is the GCF number.
So the greatest common factor 17260 and 17264 is 4.

Also check out the Least Common Multiple of 17260 and 17264

Properties of GCF 17260 and 17264

(i) The GCF of 17260 and 17264 is associative

GCF of 17260 and 17264 = GCF of 17264 and 17260

Related Greatest Common Factor of 17260

Related Greatest Common Factor of 17264

Frequently Asked Questions on GCF of 17260 and 17264

1. What is the GCF of 17260 and 17264?

Answer: GCF of 17260 and 17264 is 4.

2. What are the Factors of 17260?

Answer: Factors of 17260 are 1, 2, 4, 5, 10, 20, 863, 1726, 3452, 4315, 8630, 17260. There are 12 integers that are factors of 17260. The greatest factor of 17260 is 17260.

3. 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.

4. How to Find the GCF of 17260 and 17264?

Answer:

Greatest Common Factor of 17260 and 17264 = 4

Step 1: Find the prime factorization of 17260

17260 = 2 x 2 x 5 x 863

Step 2: Find the prime factorization of 17264

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

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 17260 and 17264 is 4