Greatest Common Factor of 2065 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 2065, 2072 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2065 and 2072 is 7.

GCF(2065,2072) = 7

GCF of 2065 and 2072

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

GCF of:
and

Greatest Common Factor of 2065 and 2072

GCF of 2065 and 2072 is 7

Prime Factorization of 2065


5 2065
7 413
59 59
1

Prime factors of 2065 are 5,7,59. Prime factorization of 2065 in exponential form is:

2065 = 51×71×591

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 2065 and 2072 is 7

Greatest Common Factor of 2065 and 2072 by matching factors method

Factors of 2065

List of positive integer factors of 2065 that divides 2065 without a remainder.

1,5,7,35,59,295,413,2065

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 2065 and 2072. The biggest common factor number is the GCF number.
So the greatest common factor 2065 and 2072 is 7.

Also check out the Least Common Multiple of 2065 and 2072

Properties of GCF 2065 and 2072

(i) The GCF of 2065 and 2072 is associative

GCF of 2065 and 2072 = GCF of 2072 and 2065

Related Greatest Common Factor of 2065

Related Greatest Common Factor of 2072

Frequently Asked Questions on GCF of 2065 and 2072

1. What is the GCF of 2065 and 2072?

Answer: GCF of 2065 and 2072 is 7.

2. What are the Factors of 2065?

Answer: Factors of 2065 are 1, 5, 7, 35, 59, 295, 413, 2065. There are 8 integers that are factors of 2065. The greatest factor of 2065 is 2065.

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 2065 and 2072?

Answer:

Greatest Common Factor of 2065 and 2072 = 7

Step 1: Find the prime factorization of 2065

2065 = 5 x 7 x 59

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 = 7

Step 4: Therefore, the greatest common factor of 2065 and 2072 is 7