Greatest Common Factor of 1802 and 1808

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 1802, 1808 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1802 and 1808 is 2.

GCF(1802,1808) = 2

GCF of 1802 and 1808

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

GCF of:
and

Greatest Common Factor of 1802 and 1808

GCF of 1802 and 1808 is 2

Prime Factorization of 1802


2 1802
17 901
53 53
1

Prime factors of 1802 are 2,17,53. Prime factorization of 1802 in exponential form is:

1802 = 21×171×531

Prime Factorization of 1808


2 1808
2 904
2 452
2 226
113 113
1

Prime factors of 1808 are 2,113. Prime factorization of 1808 in exponential form is:

1808 = 24×1131

∴ So by taking common prime factors GCF of 1802 and 1808 is 2

Greatest Common Factor of 1802 and 1808 by matching factors method

Factors of 1802

List of positive integer factors of 1802 that divides 1802 without a remainder.

1,2,17,34,53,106,901,1802

Factors of 1808

List of positive integer factors of 1808 that divides 1808 without a remainder.

1,2,4,8,16,113,226,452,904,1808

Greatest Common Factor

We found the factors and prime factorization of 1802 and 1808. The biggest common factor number is the GCF number.
So the greatest common factor 1802 and 1808 is 2.

Also check out the Least Common Multiple of 1802 and 1808

Properties of GCF 1802 and 1808

(i) The GCF of 1802 and 1808 is associative

GCF of 1802 and 1808 = GCF of 1808 and 1802

Related Greatest Common Factor of 1802

Related Greatest Common Factor of 1808

Frequently Asked Questions on GCF of 1802 and 1808

1. What is the GCF of 1802 and 1808?

Answer: GCF of 1802 and 1808 is 2.

2. What are the Factors of 1802?

Answer: Factors of 1802 are 1, 2, 17, 34, 53, 106, 901, 1802. There are 8 integers that are factors of 1802. The greatest factor of 1802 is 1802.

3. What are the Factors of 1808?

Answer: Factors of 1808 are 1, 2, 4, 8, 16, 113, 226, 452, 904, 1808. There are 10 integers that are factors of 1808. The greatest factor of 1808 is 1808.

4. How to Find the GCF of 1802 and 1808?

Answer:

Greatest Common Factor of 1802 and 1808 = 2

Step 1: Find the prime factorization of 1802

1802 = 2 x 17 x 53

Step 2: Find the prime factorization of 1808

1808 = 2 x 2 x 2 x 2 x 113

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 1802 and 1808 is 2