Greatest Common Factor of 1666 and 1672

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 1666, 1672 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1666 and 1672 is 2.

GCF(1666,1672) = 2

GCF of 1666 and 1672

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

GCF of:
and

Greatest Common Factor of 1666 and 1672

GCF of 1666 and 1672 is 2

Prime Factorization of 1666


2 1666
7 833
7 119
17 17
1

Prime factors of 1666 are 2,7,17. Prime factorization of 1666 in exponential form is:

1666 = 21×72×171

Prime Factorization of 1672


2 1672
2 836
2 418
11 209
19 19
1

Prime factors of 1672 are 2,11,19. Prime factorization of 1672 in exponential form is:

1672 = 23×111×191

∴ So by taking common prime factors GCF of 1666 and 1672 is 2

Greatest Common Factor of 1666 and 1672 by matching factors method

Factors of 1666

List of positive integer factors of 1666 that divides 1666 without a remainder.

1,2,7,14,17,34,49,98,119,238,833,1666

Factors of 1672

List of positive integer factors of 1672 that divides 1672 without a remainder.

1,2,4,8,11,19,22,38,44,76,88,152,209,418,836,1672

Greatest Common Factor

We found the factors and prime factorization of 1666 and 1672. The biggest common factor number is the GCF number.
So the greatest common factor 1666 and 1672 is 2.

Also check out the Least Common Multiple of 1666 and 1672

Properties of GCF 1666 and 1672

(i) The GCF of 1666 and 1672 is associative

GCF of 1666 and 1672 = GCF of 1672 and 1666

Related Greatest Common Factor of 1666

Related Greatest Common Factor of 1672

Frequently Asked Questions on GCF of 1666 and 1672

1. What is the GCF of 1666 and 1672?

Answer: GCF of 1666 and 1672 is 2.

2. What are the Factors of 1666?

Answer: Factors of 1666 are 1, 2, 7, 14, 17, 34, 49, 98, 119, 238, 833, 1666. There are 12 integers that are factors of 1666. The greatest factor of 1666 is 1666.

3. What are the Factors of 1672?

Answer: Factors of 1672 are 1, 2, 4, 8, 11, 19, 22, 38, 44, 76, 88, 152, 209, 418, 836, 1672. There are 16 integers that are factors of 1672. The greatest factor of 1672 is 1672.

4. How to Find the GCF of 1666 and 1672?

Answer:

Greatest Common Factor of 1666 and 1672 = 2

Step 1: Find the prime factorization of 1666

1666 = 2 x 7 x 7 x 17

Step 2: Find the prime factorization of 1672

1672 = 2 x 2 x 2 x 11 x 19

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 1666 and 1672 is 2