Greatest Common Factor of 5922 and 5929

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 5922, 5929 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5922 and 5929 is 7.

GCF(5922,5929) = 7

GCF of 5922 and 5929

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

GCF of:
and

Greatest Common Factor of 5922 and 5929

GCF of 5922 and 5929 is 7

Prime Factorization of 5922


2 5922
3 2961
3 987
7 329
47 47
1

Prime factors of 5922 are 2,3,7,47. Prime factorization of 5922 in exponential form is:

5922 = 21×32×71×471

Prime Factorization of 5929


7 5929
7 847
11 121
11 11
1

Prime factors of 5929 are 7,11. Prime factorization of 5929 in exponential form is:

5929 = 72×112

∴ So by taking common prime factors GCF of 5922 and 5929 is 7

Greatest Common Factor of 5922 and 5929 by matching factors method

Factors of 5922

List of positive integer factors of 5922 that divides 5922 without a remainder.

1,2,3,6,7,9,14,18,21,42,47,63,94,126,141,282,329,423,658,846,987,1974,2961,5922

Factors of 5929

List of positive integer factors of 5929 that divides 5929 without a remainder.

1,7,11,49,77,121,539,847,5929

Greatest Common Factor

We found the factors and prime factorization of 5922 and 5929. The biggest common factor number is the GCF number.
So the greatest common factor 5922 and 5929 is 7.

Also check out the Least Common Multiple of 5922 and 5929

Properties of GCF 5922 and 5929

(i) The GCF of 5922 and 5929 is associative

GCF of 5922 and 5929 = GCF of 5929 and 5922

Related Greatest Common Factor of 5922

Related Greatest Common Factor of 5929

Frequently Asked Questions on GCF of 5922 and 5929

1. What is the GCF of 5922 and 5929?

Answer: GCF of 5922 and 5929 is 7.

2. What are the Factors of 5922?

Answer: Factors of 5922 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 47, 63, 94, 126, 141, 282, 329, 423, 658, 846, 987, 1974, 2961, 5922. There are 24 integers that are factors of 5922. The greatest factor of 5922 is 5922.

3. What are the Factors of 5929?

Answer: Factors of 5929 are 1, 7, 11, 49, 77, 121, 539, 847, 5929. There are 9 integers that are factors of 5929. The greatest factor of 5929 is 5929.

4. How to Find the GCF of 5922 and 5929?

Answer:

Greatest Common Factor of 5922 and 5929 = 7

Step 1: Find the prime factorization of 5922

5922 = 2 x 3 x 3 x 7 x 47

Step 2: Find the prime factorization of 5929

5929 = 7 x 7 x 11 x 11

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

GCF = 7

Step 4: Therefore, the greatest common factor of 5922 and 5929 is 7