Greatest Common Factor of 3817 and 3822

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 3817, 3822 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3817 and 3822 is 1.

GCF(3817,3822) = 1

GCF of 3817 and 3822

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

GCF of:
and

Greatest Common Factor of 3817 and 3822

GCF of 3817 and 3822 is 1

Prime Factorization of 3817


11 3817
347 347
1

Prime factors of 3817 are 11,347. Prime factorization of 3817 in exponential form is:

3817 = 111×3471

Prime Factorization of 3822


2 3822
3 1911
7 637
7 91
13 13
1

Prime factors of 3822 are 2,3,7,13. Prime factorization of 3822 in exponential form is:

3822 = 21×31×72×131

∴ So by taking common prime factors GCF of 3817 and 3822 is 1

Greatest Common Factor of 3817 and 3822 by matching factors method

Factors of 3817

List of positive integer factors of 3817 that divides 3817 without a remainder.

1,11,347,3817

Factors of 3822

List of positive integer factors of 3822 that divides 3822 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,49,78,91,98,147,182,273,294,546,637,1274,1911,3822

Greatest Common Factor

We found the factors and prime factorization of 3817 and 3822. The biggest common factor number is the GCF number.
So the greatest common factor 3817 and 3822 is 1.

Also check out the Least Common Multiple of 3817 and 3822

Properties of GCF 3817 and 3822

(i) The GCF of 3817 and 3822 is associative

GCF of 3817 and 3822 = GCF of 3822 and 3817

Related Greatest Common Factor of 3817

Related Greatest Common Factor of 3822

Frequently Asked Questions on GCF of 3817 and 3822

1. What is the GCF of 3817 and 3822?

Answer: GCF of 3817 and 3822 is 1.

2. What are the Factors of 3817?

Answer: Factors of 3817 are 1, 11, 347, 3817. There are 4 integers that are factors of 3817. The greatest factor of 3817 is 3817.

3. What are the Factors of 3822?

Answer: Factors of 3822 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 49, 78, 91, 98, 147, 182, 273, 294, 546, 637, 1274, 1911, 3822. There are 24 integers that are factors of 3822. The greatest factor of 3822 is 3822.

4. How to Find the GCF of 3817 and 3822?

Answer:

Greatest Common Factor of 3817 and 3822 = 1

Step 1: Find the prime factorization of 3817

3817 = 11 x 347

Step 2: Find the prime factorization of 3822

3822 = 2 x 3 x 7 x 7 x 13

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 3817 and 3822 is 1