Greatest Common Factor of 4256 and 4264

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 4256, 4264 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4256 and 4264 is 8.

GCF(4256,4264) = 8

GCF of 4256 and 4264

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

GCF of:
and

Greatest Common Factor of 4256 and 4264

GCF of 4256 and 4264 is 8

Prime Factorization of 4256


2 4256
2 2128
2 1064
2 532
2 266
7 133
19 19
1

Prime factors of 4256 are 2,7,19. Prime factorization of 4256 in exponential form is:

4256 = 25×71×191

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

∴ So by taking common prime factors GCF of 4256 and 4264 is 8

Greatest Common Factor of 4256 and 4264 by matching factors method

Factors of 4256

List of positive integer factors of 4256 that divides 4256 without a remainder.

1,2,4,7,8,14,16,19,28,32,38,56,76,112,133,152,224,266,304,532,608,1064,2128,4256

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

Greatest Common Factor

We found the factors and prime factorization of 4256 and 4264. The biggest common factor number is the GCF number.
So the greatest common factor 4256 and 4264 is 8.

Also check out the Least Common Multiple of 4256 and 4264

Properties of GCF 4256 and 4264

(i) The GCF of 4256 and 4264 is associative

GCF of 4256 and 4264 = GCF of 4264 and 4256

Related Greatest Common Factor of 4256

Related Greatest Common Factor of 4264

Frequently Asked Questions on GCF of 4256 and 4264

1. What is the GCF of 4256 and 4264?

Answer: GCF of 4256 and 4264 is 8.

2. What are the Factors of 4256?

Answer: Factors of 4256 are 1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 56, 76, 112, 133, 152, 224, 266, 304, 532, 608, 1064, 2128, 4256. There are 24 integers that are factors of 4256. The greatest factor of 4256 is 4256.

3. 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.

4. How to Find the GCF of 4256 and 4264?

Answer:

Greatest Common Factor of 4256 and 4264 = 8

Step 1: Find the prime factorization of 4256

4256 = 2 x 2 x 2 x 2 x 2 x 7 x 19

Step 2: Find the prime factorization of 4264

4264 = 2 x 2 x 2 x 13 x 41

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 4256 and 4264 is 8