Greatest Common Factor of 2664 and 2670

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 2664, 2670 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2664 and 2670 is 6.

GCF(2664,2670) = 6

GCF of 2664 and 2670

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

GCF of:
and

Greatest Common Factor of 2664 and 2670

GCF of 2664 and 2670 is 6

Prime Factorization of 2664


2 2664
2 1332
2 666
3 333
3 111
37 37
1

Prime factors of 2664 are 2,3,37. Prime factorization of 2664 in exponential form is:

2664 = 23×32×371

Prime Factorization of 2670


2 2670
3 1335
5 445
89 89
1

Prime factors of 2670 are 2,3,5,89. Prime factorization of 2670 in exponential form is:

2670 = 21×31×51×891

∴ So by taking common prime factors GCF of 2664 and 2670 is 6

Greatest Common Factor of 2664 and 2670 by matching factors method

Factors of 2664

List of positive integer factors of 2664 that divides 2664 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,37,72,74,111,148,222,296,333,444,666,888,1332,2664

Factors of 2670

List of positive integer factors of 2670 that divides 2670 without a remainder.

1,2,3,5,6,10,15,30,89,178,267,445,534,890,1335,2670

Greatest Common Factor

We found the factors and prime factorization of 2664 and 2670. The biggest common factor number is the GCF number.
So the greatest common factor 2664 and 2670 is 6.

Also check out the Least Common Multiple of 2664 and 2670

Properties of GCF 2664 and 2670

(i) The GCF of 2664 and 2670 is associative

GCF of 2664 and 2670 = GCF of 2670 and 2664

Related Greatest Common Factor of 2664

Related Greatest Common Factor of 2670

Frequently Asked Questions on GCF of 2664 and 2670

1. What is the GCF of 2664 and 2670?

Answer: GCF of 2664 and 2670 is 6.

2. What are the Factors of 2664?

Answer: Factors of 2664 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 37, 72, 74, 111, 148, 222, 296, 333, 444, 666, 888, 1332, 2664. There are 24 integers that are factors of 2664. The greatest factor of 2664 is 2664.

3. What are the Factors of 2670?

Answer: Factors of 2670 are 1, 2, 3, 5, 6, 10, 15, 30, 89, 178, 267, 445, 534, 890, 1335, 2670. There are 16 integers that are factors of 2670. The greatest factor of 2670 is 2670.

4. How to Find the GCF of 2664 and 2670?

Answer:

Greatest Common Factor of 2664 and 2670 = 6

Step 1: Find the prime factorization of 2664

2664 = 2 x 2 x 2 x 3 x 3 x 37

Step 2: Find the prime factorization of 2670

2670 = 2 x 3 x 5 x 89

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 2664 and 2670 is 6