Greatest Common Factor of 8070 and 8073

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 8070, 8073 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8070 and 8073 is 3.

GCF(8070,8073) = 3

GCF of 8070 and 8073

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

GCF of:
and

Greatest Common Factor of 8070 and 8073

GCF of 8070 and 8073 is 3

Prime Factorization of 8070


2 8070
3 4035
5 1345
269 269
1

Prime factors of 8070 are 2,3,5,269. Prime factorization of 8070 in exponential form is:

8070 = 21×31×51×2691

Prime Factorization of 8073


3 8073
3 2691
3 897
13 299
23 23
1

Prime factors of 8073 are 3,13,23. Prime factorization of 8073 in exponential form is:

8073 = 33×131×231

∴ So by taking common prime factors GCF of 8070 and 8073 is 3

Greatest Common Factor of 8070 and 8073 by matching factors method

Factors of 8070

List of positive integer factors of 8070 that divides 8070 without a remainder.

1,2,3,5,6,10,15,30,269,538,807,1345,1614,2690,4035,8070

Factors of 8073

List of positive integer factors of 8073 that divides 8073 without a remainder.

1,3,9,13,23,27,39,69,117,207,299,351,621,897,2691,8073

Greatest Common Factor

We found the factors and prime factorization of 8070 and 8073. The biggest common factor number is the GCF number.
So the greatest common factor 8070 and 8073 is 3.

Also check out the Least Common Multiple of 8070 and 8073

Properties of GCF 8070 and 8073

(i) The GCF of 8070 and 8073 is associative

GCF of 8070 and 8073 = GCF of 8073 and 8070

Related Greatest Common Factor of 8070

Related Greatest Common Factor of 8073

Frequently Asked Questions on GCF of 8070 and 8073

1. What is the GCF of 8070 and 8073?

Answer: GCF of 8070 and 8073 is 3.

2. What are the Factors of 8070?

Answer: Factors of 8070 are 1, 2, 3, 5, 6, 10, 15, 30, 269, 538, 807, 1345, 1614, 2690, 4035, 8070. There are 16 integers that are factors of 8070. The greatest factor of 8070 is 8070.

3. What are the Factors of 8073?

Answer: Factors of 8073 are 1, 3, 9, 13, 23, 27, 39, 69, 117, 207, 299, 351, 621, 897, 2691, 8073. There are 16 integers that are factors of 8073. The greatest factor of 8073 is 8073.

4. How to Find the GCF of 8070 and 8073?

Answer:

Greatest Common Factor of 8070 and 8073 = 3

Step 1: Find the prime factorization of 8070

8070 = 2 x 3 x 5 x 269

Step 2: Find the prime factorization of 8073

8073 = 3 x 3 x 3 x 13 x 23

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

GCF = 3

Step 4: Therefore, the greatest common factor of 8070 and 8073 is 3