Greatest Common Factor of 3822 and 3827

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 3822, 3827 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3822 and 3827 is 1.

GCF(3822,3827) = 1

GCF of 3822 and 3827

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

GCF of:
and

Greatest Common Factor of 3822 and 3827

GCF of 3822 and 3827 is 1

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

Prime Factorization of 3827


43 3827
89 89
1

Prime factors of 3827 are 43,89. Prime factorization of 3827 in exponential form is:

3827 = 431×891

∴ So by taking common prime factors GCF of 3822 and 3827 is 1

Greatest Common Factor of 3822 and 3827 by matching factors method

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

Factors of 3827

List of positive integer factors of 3827 that divides 3827 without a remainder.

1,43,89,3827

Greatest Common Factor

We found the factors and prime factorization of 3822 and 3827. The biggest common factor number is the GCF number.
So the greatest common factor 3822 and 3827 is 1.

Also check out the Least Common Multiple of 3822 and 3827

Properties of GCF 3822 and 3827

(i) The GCF of 3822 and 3827 is associative

GCF of 3822 and 3827 = GCF of 3827 and 3822

Related Greatest Common Factor of 3822

Related Greatest Common Factor of 3827

Frequently Asked Questions on GCF of 3822 and 3827

1. What is the GCF of 3822 and 3827?

Answer: GCF of 3822 and 3827 is 1.

2. 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.

3. What are the Factors of 3827?

Answer: Factors of 3827 are 1, 43, 89, 3827. There are 4 integers that are factors of 3827. The greatest factor of 3827 is 3827.

4. How to Find the GCF of 3822 and 3827?

Answer:

Greatest Common Factor of 3822 and 3827 = 1

Step 1: Find the prime factorization of 3822

3822 = 2 x 3 x 7 x 7 x 13

Step 2: Find the prime factorization of 3827

3827 = 43 x 89

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 3822 and 3827 is 1