Greatest Common Factor of 8064 and 8072

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, 8072 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8064 and 8072 is 8.

GCF(8064,8072) = 8

GCF of 8064 and 8072

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

GCF of:
and

Greatest Common Factor of 8064 and 8072

GCF of 8064 and 8072 is 8

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 8072


2 8072
2 4036
2 2018
1009 1009
1

Prime factors of 8072 are 2,1009. Prime factorization of 8072 in exponential form is:

8072 = 23×10091

∴ So by taking common prime factors GCF of 8064 and 8072 is 8

Greatest Common Factor of 8064 and 8072 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 8072

List of positive integer factors of 8072 that divides 8072 without a remainder.

1,2,4,8,1009,2018,4036,8072

Greatest Common Factor

We found the factors and prime factorization of 8064 and 8072. The biggest common factor number is the GCF number.
So the greatest common factor 8064 and 8072 is 8.

Also check out the Least Common Multiple of 8064 and 8072

Properties of GCF 8064 and 8072

(i) The GCF of 8064 and 8072 is associative

GCF of 8064 and 8072 = GCF of 8072 and 8064

Related Greatest Common Factor of 8064

Related Greatest Common Factor of 8072

Frequently Asked Questions on GCF of 8064 and 8072

1. What is the GCF of 8064 and 8072?

Answer: GCF of 8064 and 8072 is 8.

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 8072?

Answer: Factors of 8072 are 1, 2, 4, 8, 1009, 2018, 4036, 8072. There are 8 integers that are factors of 8072. The greatest factor of 8072 is 8072.

4. How to Find the GCF of 8064 and 8072?

Answer:

Greatest Common Factor of 8064 and 8072 = 8

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 8072

8072 = 2 x 2 x 2 x 1009

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 8064 and 8072 is 8