Greatest Common Factor of 8064 and 8068

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 8064, 8068 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8064 and 8068 is 4.

GCF(8064,8068) = 4

GCF of 8064 and 8068

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

GCF of:
and

Greatest Common Factor of 8064 and 8068

GCF of 8064 and 8068 is 4

Prime Factorization of 8064


2 8064
2 4032
2 2016
2 1008
2 504
2 252
2 126
3 63
3 21
7 7
1

Prime factors of 8064 are 2,3,7. Prime factorization of 8064 in exponential form is:

8064 = 27×32×71

Prime Factorization of 8068


2 8068
2 4034
2017 2017
1

Prime factors of 8068 are 2,2017. Prime factorization of 8068 in exponential form is:

8068 = 22×20171

∴ So by taking common prime factors GCF of 8064 and 8068 is 4

Greatest Common Factor of 8064 and 8068 by matching factors method

Factors of 8064

List of positive integer factors of 8064 that divides 8064 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,64,72,84,96,112,126,128,144,168,192,224,252,288,336,384,448,504,576,672,896,1008,1152,1344,2016,2688,4032,8064

Factors of 8068

List of positive integer factors of 8068 that divides 8068 without a remainder.

1,2,4,2017,4034,8068

Greatest Common Factor

We found the factors and prime factorization of 8064 and 8068. The biggest common factor number is the GCF number.
So the greatest common factor 8064 and 8068 is 4.

Also check out the Least Common Multiple of 8064 and 8068

Properties of GCF 8064 and 8068

(i) The GCF of 8064 and 8068 is associative

GCF of 8064 and 8068 = GCF of 8068 and 8064

Related Greatest Common Factor of 8064

Related Greatest Common Factor of 8068

Frequently Asked Questions on GCF of 8064 and 8068

1. What is the GCF of 8064 and 8068?

Answer: GCF of 8064 and 8068 is 4.

2. What are the Factors of 8064?

Answer: Factors of 8064 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 64, 72, 84, 96, 112, 126, 128, 144, 168, 192, 224, 252, 288, 336, 384, 448, 504, 576, 672, 896, 1008, 1152, 1344, 2016, 2688, 4032, 8064. There are 48 integers that are factors of 8064. The greatest factor of 8064 is 8064.

3. What are the Factors of 8068?

Answer: Factors of 8068 are 1, 2, 4, 2017, 4034, 8068. There are 6 integers that are factors of 8068. The greatest factor of 8068 is 8068.

4. How to Find the GCF of 8064 and 8068?

Answer:

Greatest Common Factor of 8064 and 8068 = 4

Step 1: Find the prime factorization of 8064

8064 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7

Step 2: Find the prime factorization of 8068

8068 = 2 x 2 x 2017

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 8064 and 8068 is 4