Greatest Common Factor of 4264 and 4269

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 4264, 4269 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4264 and 4269 is 1.

GCF(4264,4269) = 1

GCF of 4264 and 4269

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

GCF of:
and

Greatest Common Factor of 4264 and 4269

GCF of 4264 and 4269 is 1

Prime Factorization of 4264


2 4264
2 2132
2 1066
13 533
41 41
1

Prime factors of 4264 are 2,13,41. Prime factorization of 4264 in exponential form is:

4264 = 23×131×411

Prime Factorization of 4269


3 4269
1423 1423
1

Prime factors of 4269 are 3,1423. Prime factorization of 4269 in exponential form is:

4269 = 31×14231

∴ So by taking common prime factors GCF of 4264 and 4269 is 1

Greatest Common Factor of 4264 and 4269 by matching factors method

Factors of 4264

List of positive integer factors of 4264 that divides 4264 without a remainder.

1,2,4,8,13,26,41,52,82,104,164,328,533,1066,2132,4264

Factors of 4269

List of positive integer factors of 4269 that divides 4269 without a remainder.

1,3,1423,4269

Greatest Common Factor

We found the factors and prime factorization of 4264 and 4269. The biggest common factor number is the GCF number.
So the greatest common factor 4264 and 4269 is 1.

Also check out the Least Common Multiple of 4264 and 4269

Properties of GCF 4264 and 4269

(i) The GCF of 4264 and 4269 is associative

GCF of 4264 and 4269 = GCF of 4269 and 4264

Frequently Asked Questions on GCF of 4264 and 4269

1. What is the GCF of 4264 and 4269?

Answer: GCF of 4264 and 4269 is 1.

2. What are the Factors of 4264?

Answer: Factors of 4264 are 1, 2, 4, 8, 13, 26, 41, 52, 82, 104, 164, 328, 533, 1066, 2132, 4264. There are 16 integers that are factors of 4264. The greatest factor of 4264 is 4264.

3. What are the Factors of 4269?

Answer: Factors of 4269 are 1, 3, 1423, 4269. There are 4 integers that are factors of 4269. The greatest factor of 4269 is 4269.

4. How to Find the GCF of 4264 and 4269?

Answer:

Greatest Common Factor of 4264 and 4269 = 1

Step 1: Find the prime factorization of 4264

4264 = 2 x 2 x 2 x 13 x 41

Step 2: Find the prime factorization of 4269

4269 = 3 x 1423

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 4264 and 4269 is 1