Greatest Common Factor of 5334 and 5341

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 5334, 5341 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5334 and 5341 is 7.

GCF(5334,5341) = 7

GCF of 5334 and 5341

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

GCF of:
and

Greatest Common Factor of 5334 and 5341

GCF of 5334 and 5341 is 7

Prime Factorization of 5334


2 5334
3 2667
7 889
127 127
1

Prime factors of 5334 are 2,3,7,127. Prime factorization of 5334 in exponential form is:

5334 = 21×31×71×1271

Prime Factorization of 5341


7 5341
7 763
109 109
1

Prime factors of 5341 are 7,109. Prime factorization of 5341 in exponential form is:

5341 = 72×1091

∴ So by taking common prime factors GCF of 5334 and 5341 is 7

Greatest Common Factor of 5334 and 5341 by matching factors method

Factors of 5334

List of positive integer factors of 5334 that divides 5334 without a remainder.

1,2,3,6,7,14,21,42,127,254,381,762,889,1778,2667,5334

Factors of 5341

List of positive integer factors of 5341 that divides 5341 without a remainder.

1,7,49,109,763,5341

Greatest Common Factor

We found the factors and prime factorization of 5334 and 5341. The biggest common factor number is the GCF number.
So the greatest common factor 5334 and 5341 is 7.

Also check out the Least Common Multiple of 5334 and 5341

Properties of GCF 5334 and 5341

(i) The GCF of 5334 and 5341 is associative

GCF of 5334 and 5341 = GCF of 5341 and 5334

Related Greatest Common Factor of 5334

Related Greatest Common Factor of 5341

Frequently Asked Questions on GCF of 5334 and 5341

1. What is the GCF of 5334 and 5341?

Answer: GCF of 5334 and 5341 is 7.

2. What are the Factors of 5334?

Answer: Factors of 5334 are 1, 2, 3, 6, 7, 14, 21, 42, 127, 254, 381, 762, 889, 1778, 2667, 5334. There are 16 integers that are factors of 5334. The greatest factor of 5334 is 5334.

3. What are the Factors of 5341?

Answer: Factors of 5341 are 1, 7, 49, 109, 763, 5341. There are 6 integers that are factors of 5341. The greatest factor of 5341 is 5341.

4. How to Find the GCF of 5334 and 5341?

Answer:

Greatest Common Factor of 5334 and 5341 = 7

Step 1: Find the prime factorization of 5334

5334 = 2 x 3 x 7 x 127

Step 2: Find the prime factorization of 5341

5341 = 7 x 7 x 109

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 5334 and 5341 is 7