Greatest Common Factor of 8054 and 8060

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 8054, 8060 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8054 and 8060 is 2.

GCF(8054,8060) = 2

GCF of 8054 and 8060

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

GCF of:
and

Greatest Common Factor of 8054 and 8060

GCF of 8054 and 8060 is 2

Prime Factorization of 8054


2 8054
4027 4027
1

Prime factors of 8054 are 2,4027. Prime factorization of 8054 in exponential form is:

8054 = 21×40271

Prime Factorization of 8060


2 8060
2 4030
5 2015
13 403
31 31
1

Prime factors of 8060 are 2,5,13,31. Prime factorization of 8060 in exponential form is:

8060 = 22×51×131×311

∴ So by taking common prime factors GCF of 8054 and 8060 is 2

Greatest Common Factor of 8054 and 8060 by matching factors method

Factors of 8054

List of positive integer factors of 8054 that divides 8054 without a remainder.

1,2,4027,8054

Factors of 8060

List of positive integer factors of 8060 that divides 8060 without a remainder.

1,2,4,5,10,13,20,26,31,52,62,65,124,130,155,260,310,403,620,806,1612,2015,4030,8060

Greatest Common Factor

We found the factors and prime factorization of 8054 and 8060. The biggest common factor number is the GCF number.
So the greatest common factor 8054 and 8060 is 2.

Also check out the Least Common Multiple of 8054 and 8060

Properties of GCF 8054 and 8060

(i) The GCF of 8054 and 8060 is associative

GCF of 8054 and 8060 = GCF of 8060 and 8054

Related Greatest Common Factor of 8054

Related Greatest Common Factor of 8060

Frequently Asked Questions on GCF of 8054 and 8060

1. What is the GCF of 8054 and 8060?

Answer: GCF of 8054 and 8060 is 2.

2. What are the Factors of 8054?

Answer: Factors of 8054 are 1, 2, 4027, 8054. There are 4 integers that are factors of 8054. The greatest factor of 8054 is 8054.

3. What are the Factors of 8060?

Answer: Factors of 8060 are 1, 2, 4, 5, 10, 13, 20, 26, 31, 52, 62, 65, 124, 130, 155, 260, 310, 403, 620, 806, 1612, 2015, 4030, 8060. There are 24 integers that are factors of 8060. The greatest factor of 8060 is 8060.

4. How to Find the GCF of 8054 and 8060?

Answer:

Greatest Common Factor of 8054 and 8060 = 2

Step 1: Find the prime factorization of 8054

8054 = 2 x 4027

Step 2: Find the prime factorization of 8060

8060 = 2 x 2 x 5 x 13 x 31

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

GCF = 2

Step 4: Therefore, the greatest common factor of 8054 and 8060 is 2