Greatest Common Factor of 2070 and 2072

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, 2072 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2070 and 2072 is 2.

GCF(2070,2072) = 2

GCF of 2070 and 2072

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

GCF of:
and

Greatest Common Factor of 2070 and 2072

GCF of 2070 and 2072 is 2

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 2072


2 2072
2 1036
2 518
7 259
37 37
1

Prime factors of 2072 are 2,7,37. Prime factorization of 2072 in exponential form is:

2072 = 23×71×371

∴ So by taking common prime factors GCF of 2070 and 2072 is 2

Greatest Common Factor of 2070 and 2072 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 2072

List of positive integer factors of 2072 that divides 2072 without a remainder.

1,2,4,7,8,14,28,37,56,74,148,259,296,518,1036,2072

Greatest Common Factor

We found the factors and prime factorization of 2070 and 2072. The biggest common factor number is the GCF number.
So the greatest common factor 2070 and 2072 is 2.

Also check out the Least Common Multiple of 2070 and 2072

Properties of GCF 2070 and 2072

(i) The GCF of 2070 and 2072 is associative

GCF of 2070 and 2072 = GCF of 2072 and 2070

Related Greatest Common Factor of 2070

Related Greatest Common Factor of 2072

Frequently Asked Questions on GCF of 2070 and 2072

1. What is the GCF of 2070 and 2072?

Answer: GCF of 2070 and 2072 is 2.

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 2072?

Answer: Factors of 2072 are 1, 2, 4, 7, 8, 14, 28, 37, 56, 74, 148, 259, 296, 518, 1036, 2072. There are 16 integers that are factors of 2072. The greatest factor of 2072 is 2072.

4. How to Find the GCF of 2070 and 2072?

Answer:

Greatest Common Factor of 2070 and 2072 = 2

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 2072

2072 = 2 x 2 x 2 x 7 x 37

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 2070 and 2072 is 2