Greatest Common Factor of 6259 and 6264

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 6259, 6264 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6259 and 6264 is 1.

GCF(6259,6264) = 1

GCF of 6259 and 6264

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

GCF of:
and

Greatest Common Factor of 6259 and 6264

GCF of 6259 and 6264 is 1

Prime Factorization of 6259


11 6259
569 569
1

Prime factors of 6259 are 11,569. Prime factorization of 6259 in exponential form is:

6259 = 111×5691

Prime Factorization of 6264


2 6264
2 3132
2 1566
3 783
3 261
3 87
29 29
1

Prime factors of 6264 are 2,3,29. Prime factorization of 6264 in exponential form is:

6264 = 23×33×291

∴ So by taking common prime factors GCF of 6259 and 6264 is 1

Greatest Common Factor of 6259 and 6264 by matching factors method

Factors of 6259

List of positive integer factors of 6259 that divides 6259 without a remainder.

1,11,569,6259

Factors of 6264

List of positive integer factors of 6264 that divides 6264 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,29,36,54,58,72,87,108,116,174,216,232,261,348,522,696,783,1044,1566,2088,3132,6264

Greatest Common Factor

We found the factors and prime factorization of 6259 and 6264. The biggest common factor number is the GCF number.
So the greatest common factor 6259 and 6264 is 1.

Also check out the Least Common Multiple of 6259 and 6264

Properties of GCF 6259 and 6264

(i) The GCF of 6259 and 6264 is associative

GCF of 6259 and 6264 = GCF of 6264 and 6259

Related Greatest Common Factor of 6259

Related Greatest Common Factor of 6264

Frequently Asked Questions on GCF of 6259 and 6264

1. What is the GCF of 6259 and 6264?

Answer: GCF of 6259 and 6264 is 1.

2. What are the Factors of 6259?

Answer: Factors of 6259 are 1, 11, 569, 6259. There are 4 integers that are factors of 6259. The greatest factor of 6259 is 6259.

3. What are the Factors of 6264?

Answer: Factors of 6264 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 29, 36, 54, 58, 72, 87, 108, 116, 174, 216, 232, 261, 348, 522, 696, 783, 1044, 1566, 2088, 3132, 6264. There are 32 integers that are factors of 6264. The greatest factor of 6264 is 6264.

4. How to Find the GCF of 6259 and 6264?

Answer:

Greatest Common Factor of 6259 and 6264 = 1

Step 1: Find the prime factorization of 6259

6259 = 11 x 569

Step 2: Find the prime factorization of 6264

6264 = 2 x 2 x 2 x 3 x 3 x 3 x 29

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 6259 and 6264 is 1