Greatest Common Factor of 8070 and 8076

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, 8076 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8070 and 8076 is 6.

GCF(8070,8076) = 6

GCF of 8070 and 8076

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

GCF of:
and

Greatest Common Factor of 8070 and 8076

GCF of 8070 and 8076 is 6

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 8076


2 8076
2 4038
3 2019
673 673
1

Prime factors of 8076 are 2,3,673. Prime factorization of 8076 in exponential form is:

8076 = 22×31×6731

∴ So by taking common prime factors GCF of 8070 and 8076 is 6

Greatest Common Factor of 8070 and 8076 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 8076

List of positive integer factors of 8076 that divides 8076 without a remainder.

1,2,3,4,6,12,673,1346,2019,2692,4038,8076

Greatest Common Factor

We found the factors and prime factorization of 8070 and 8076. The biggest common factor number is the GCF number.
So the greatest common factor 8070 and 8076 is 6.

Also check out the Least Common Multiple of 8070 and 8076

Properties of GCF 8070 and 8076

(i) The GCF of 8070 and 8076 is associative

GCF of 8070 and 8076 = GCF of 8076 and 8070

Related Greatest Common Factor of 8070

Related Greatest Common Factor of 8076

Frequently Asked Questions on GCF of 8070 and 8076

1. What is the GCF of 8070 and 8076?

Answer: GCF of 8070 and 8076 is 6.

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 8076?

Answer: Factors of 8076 are 1, 2, 3, 4, 6, 12, 673, 1346, 2019, 2692, 4038, 8076. There are 12 integers that are factors of 8076. The greatest factor of 8076 is 8076.

4. How to Find the GCF of 8070 and 8076?

Answer:

Greatest Common Factor of 8070 and 8076 = 6

Step 1: Find the prime factorization of 8070

8070 = 2 x 3 x 5 x 269

Step 2: Find the prime factorization of 8076

8076 = 2 x 2 x 3 x 673

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 8070 and 8076 is 6