Greatest Common Factor of 2070 and 2075

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, 2075 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2070 and 2075 is 5.

GCF(2070,2075) = 5

GCF of 2070 and 2075

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

GCF of:
and

Greatest Common Factor of 2070 and 2075

GCF of 2070 and 2075 is 5

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 2075


5 2075
5 415
83 83
1

Prime factors of 2075 are 5,83. Prime factorization of 2075 in exponential form is:

2075 = 52×831

∴ So by taking common prime factors GCF of 2070 and 2075 is 5

Greatest Common Factor of 2070 and 2075 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 2075

List of positive integer factors of 2075 that divides 2075 without a remainder.

1,5,25,83,415,2075

Greatest Common Factor

We found the factors and prime factorization of 2070 and 2075. The biggest common factor number is the GCF number.
So the greatest common factor 2070 and 2075 is 5.

Also check out the Least Common Multiple of 2070 and 2075

Properties of GCF 2070 and 2075

(i) The GCF of 2070 and 2075 is associative

GCF of 2070 and 2075 = GCF of 2075 and 2070

Related Greatest Common Factor of 2070

Related Greatest Common Factor of 2075

Frequently Asked Questions on GCF of 2070 and 2075

1. What is the GCF of 2070 and 2075?

Answer: GCF of 2070 and 2075 is 5.

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 2075?

Answer: Factors of 2075 are 1, 5, 25, 83, 415, 2075. There are 6 integers that are factors of 2075. The greatest factor of 2075 is 2075.

4. How to Find the GCF of 2070 and 2075?

Answer:

Greatest Common Factor of 2070 and 2075 = 5

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 2075

2075 = 5 x 5 x 83

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

GCF = 5

Step 4: Therefore, the greatest common factor of 2070 and 2075 is 5