Greatest Common Factor of 5460 and 5466

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 5460, 5466 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5460 and 5466 is 6.

GCF(5460,5466) = 6

GCF of 5460 and 5466

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

GCF of:
and

Greatest Common Factor of 5460 and 5466

GCF of 5460 and 5466 is 6

Prime Factorization of 5460


2 5460
2 2730
3 1365
5 455
7 91
13 13
1

Prime factors of 5460 are 2,3,5,7,13. Prime factorization of 5460 in exponential form is:

5460 = 22×31×51×71×131

Prime Factorization of 5466


2 5466
3 2733
911 911
1

Prime factors of 5466 are 2,3,911. Prime factorization of 5466 in exponential form is:

5466 = 21×31×9111

∴ So by taking common prime factors GCF of 5460 and 5466 is 6

Greatest Common Factor of 5460 and 5466 by matching factors method

Factors of 5460

List of positive integer factors of 5460 that divides 5460 without a remainder.

1,2,3,4,5,6,7,10,12,13,14,15,20,21,26,28,30,35,39,42,52,60,65,70,78,84,91,105,130,140,156,182,195,210,260,273,364,390,420,455,546,780,910,1092,1365,1820,2730,5460

Factors of 5466

List of positive integer factors of 5466 that divides 5466 without a remainder.

1,2,3,6,911,1822,2733,5466

Greatest Common Factor

We found the factors and prime factorization of 5460 and 5466. The biggest common factor number is the GCF number.
So the greatest common factor 5460 and 5466 is 6.

Also check out the Least Common Multiple of 5460 and 5466

Properties of GCF 5460 and 5466

(i) The GCF of 5460 and 5466 is associative

GCF of 5460 and 5466 = GCF of 5466 and 5460

Related Greatest Common Factor of 5460

Related Greatest Common Factor of 5466

Frequently Asked Questions on GCF of 5460 and 5466

1. What is the GCF of 5460 and 5466?

Answer: GCF of 5460 and 5466 is 6.

2. What are the Factors of 5460?

Answer: Factors of 5460 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 14, 15, 20, 21, 26, 28, 30, 35, 39, 42, 52, 60, 65, 70, 78, 84, 91, 105, 130, 140, 156, 182, 195, 210, 260, 273, 364, 390, 420, 455, 546, 780, 910, 1092, 1365, 1820, 2730, 5460. There are 48 integers that are factors of 5460. The greatest factor of 5460 is 5460.

3. What are the Factors of 5466?

Answer: Factors of 5466 are 1, 2, 3, 6, 911, 1822, 2733, 5466. There are 8 integers that are factors of 5466. The greatest factor of 5466 is 5466.

4. How to Find the GCF of 5460 and 5466?

Answer:

Greatest Common Factor of 5460 and 5466 = 6

Step 1: Find the prime factorization of 5460

5460 = 2 x 2 x 3 x 5 x 7 x 13

Step 2: Find the prime factorization of 5466

5466 = 2 x 3 x 911

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 5460 and 5466 is 6