Greatest Common Factor of 2070 and 2076

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 2070, 2076 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2070 and 2076 is 6.

GCF(2070,2076) = 6

GCF of 2070 and 2076

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

GCF of:
and

Greatest Common Factor of 2070 and 2076

GCF of 2070 and 2076 is 6

Prime Factorization of 2070


2 2070
3 1035
3 345
5 115
23 23
1

Prime factors of 2070 are 2,3,5,23. Prime factorization of 2070 in exponential form is:

2070 = 21×32×51×231

Prime Factorization of 2076


2 2076
2 1038
3 519
173 173
1

Prime factors of 2076 are 2,3,173. Prime factorization of 2076 in exponential form is:

2076 = 22×31×1731

∴ So by taking common prime factors GCF of 2070 and 2076 is 6

Greatest Common Factor of 2070 and 2076 by matching factors method

Factors of 2070

List of positive integer factors of 2070 that divides 2070 without a remainder.

1,2,3,5,6,9,10,15,18,23,30,45,46,69,90,115,138,207,230,345,414,690,1035,2070

Factors of 2076

List of positive integer factors of 2076 that divides 2076 without a remainder.

1,2,3,4,6,12,173,346,519,692,1038,2076

Greatest Common Factor

We found the factors and prime factorization of 2070 and 2076. The biggest common factor number is the GCF number.
So the greatest common factor 2070 and 2076 is 6.

Also check out the Least Common Multiple of 2070 and 2076

Properties of GCF 2070 and 2076

(i) The GCF of 2070 and 2076 is associative

GCF of 2070 and 2076 = GCF of 2076 and 2070

Related Greatest Common Factor of 2070

Related Greatest Common Factor of 2076

Frequently Asked Questions on GCF of 2070 and 2076

1. What is the GCF of 2070 and 2076?

Answer: GCF of 2070 and 2076 is 6.

2. What are the Factors of 2070?

Answer: Factors of 2070 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 30, 45, 46, 69, 90, 115, 138, 207, 230, 345, 414, 690, 1035, 2070. There are 24 integers that are factors of 2070. The greatest factor of 2070 is 2070.

3. What are the Factors of 2076?

Answer: Factors of 2076 are 1, 2, 3, 4, 6, 12, 173, 346, 519, 692, 1038, 2076. There are 12 integers that are factors of 2076. The greatest factor of 2076 is 2076.

4. How to Find the GCF of 2070 and 2076?

Answer:

Greatest Common Factor of 2070 and 2076 = 6

Step 1: Find the prime factorization of 2070

2070 = 2 x 3 x 3 x 5 x 23

Step 2: Find the prime factorization of 2076

2076 = 2 x 2 x 3 x 173

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 2070 and 2076 is 6