Greatest Common Factor of 2067 and 2070

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 2067, 2070 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2067 and 2070 is 3.

GCF(2067,2070) = 3

GCF of 2067 and 2070

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

GCF of:
and

Greatest Common Factor of 2067 and 2070

GCF of 2067 and 2070 is 3

Prime Factorization of 2067


3 2067
13 689
53 53
1

Prime factors of 2067 are 3,13,53. Prime factorization of 2067 in exponential form is:

2067 = 31×131×531

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

∴ So by taking common prime factors GCF of 2067 and 2070 is 3

Greatest Common Factor of 2067 and 2070 by matching factors method

Factors of 2067

List of positive integer factors of 2067 that divides 2067 without a remainder.

1,3,13,39,53,159,689,2067

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

Greatest Common Factor

We found the factors and prime factorization of 2067 and 2070. The biggest common factor number is the GCF number.
So the greatest common factor 2067 and 2070 is 3.

Also check out the Least Common Multiple of 2067 and 2070

Properties of GCF 2067 and 2070

(i) The GCF of 2067 and 2070 is associative

GCF of 2067 and 2070 = GCF of 2070 and 2067

Related Greatest Common Factor of 2067

Related Greatest Common Factor of 2070

Frequently Asked Questions on GCF of 2067 and 2070

1. What is the GCF of 2067 and 2070?

Answer: GCF of 2067 and 2070 is 3.

2. What are the Factors of 2067?

Answer: Factors of 2067 are 1, 3, 13, 39, 53, 159, 689, 2067. There are 8 integers that are factors of 2067. The greatest factor of 2067 is 2067.

3. 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.

4. How to Find the GCF of 2067 and 2070?

Answer:

Greatest Common Factor of 2067 and 2070 = 3

Step 1: Find the prime factorization of 2067

2067 = 3 x 13 x 53

Step 2: Find the prime factorization of 2070

2070 = 2 x 3 x 3 x 5 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 2067 and 2070 is 3