Greatest Common Factor of 2070 and 2078

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, 2078 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2070 and 2078 is 2.

GCF(2070,2078) = 2

GCF of 2070 and 2078

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

GCF of:
and

Greatest Common Factor of 2070 and 2078

GCF of 2070 and 2078 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 2078


2 2078
1039 1039
1

Prime factors of 2078 are 2,1039. Prime factorization of 2078 in exponential form is:

2078 = 21×10391

∴ So by taking common prime factors GCF of 2070 and 2078 is 2

Greatest Common Factor of 2070 and 2078 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 2078

List of positive integer factors of 2078 that divides 2078 without a remainder.

1,2,1039,2078

Greatest Common Factor

We found the factors and prime factorization of 2070 and 2078. The biggest common factor number is the GCF number.
So the greatest common factor 2070 and 2078 is 2.

Also check out the Least Common Multiple of 2070 and 2078

Properties of GCF 2070 and 2078

(i) The GCF of 2070 and 2078 is associative

GCF of 2070 and 2078 = GCF of 2078 and 2070

Related Greatest Common Factor of 2070

Related Greatest Common Factor of 2078

Frequently Asked Questions on GCF of 2070 and 2078

1. What is the GCF of 2070 and 2078?

Answer: GCF of 2070 and 2078 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 2078?

Answer: Factors of 2078 are 1, 2, 1039, 2078. There are 4 integers that are factors of 2078. The greatest factor of 2078 is 2078.

4. How to Find the GCF of 2070 and 2078?

Answer:

Greatest Common Factor of 2070 and 2078 = 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 2078

2078 = 2 x 1039

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 2078 is 2