Greatest Common Factor of 2064 and 2067

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 2064, 2067 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2064 and 2067 is 3.

GCF(2064,2067) = 3

GCF of 2064 and 2067

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

GCF of:
and

Greatest Common Factor of 2064 and 2067

GCF of 2064 and 2067 is 3

Prime Factorization of 2064


2 2064
2 1032
2 516
2 258
3 129
43 43
1

Prime factors of 2064 are 2,3,43. Prime factorization of 2064 in exponential form is:

2064 = 24×31×431

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

∴ So by taking common prime factors GCF of 2064 and 2067 is 3

Greatest Common Factor of 2064 and 2067 by matching factors method

Factors of 2064

List of positive integer factors of 2064 that divides 2064 without a remainder.

1,2,3,4,6,8,12,16,24,43,48,86,129,172,258,344,516,688,1032,2064

Factors of 2067

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

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

Greatest Common Factor

We found the factors and prime factorization of 2064 and 2067. The biggest common factor number is the GCF number.
So the greatest common factor 2064 and 2067 is 3.

Also check out the Least Common Multiple of 2064 and 2067

Properties of GCF 2064 and 2067

(i) The GCF of 2064 and 2067 is associative

GCF of 2064 and 2067 = GCF of 2067 and 2064

Related Greatest Common Factor of 2064

Related Greatest Common Factor of 2067

Frequently Asked Questions on GCF of 2064 and 2067

1. What is the GCF of 2064 and 2067?

Answer: GCF of 2064 and 2067 is 3.

2. What are the Factors of 2064?

Answer: Factors of 2064 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 43, 48, 86, 129, 172, 258, 344, 516, 688, 1032, 2064. There are 20 integers that are factors of 2064. The greatest factor of 2064 is 2064.

3. 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.

4. How to Find the GCF of 2064 and 2067?

Answer:

Greatest Common Factor of 2064 and 2067 = 3

Step 1: Find the prime factorization of 2064

2064 = 2 x 2 x 2 x 2 x 3 x 43

Step 2: Find the prime factorization of 2067

2067 = 3 x 13 x 53

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 2064 and 2067 is 3