Greatest Common Factor of 5460 and 5463

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, 5463 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5460 and 5463 is 3.

GCF(5460,5463) = 3

GCF of 5460 and 5463

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

GCF of:
and

Greatest Common Factor of 5460 and 5463

GCF of 5460 and 5463 is 3

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 5463


3 5463
3 1821
607 607
1

Prime factors of 5463 are 3,607. Prime factorization of 5463 in exponential form is:

5463 = 32×6071

∴ So by taking common prime factors GCF of 5460 and 5463 is 3

Greatest Common Factor of 5460 and 5463 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 5463

List of positive integer factors of 5463 that divides 5463 without a remainder.

1,3,9,607,1821,5463

Greatest Common Factor

We found the factors and prime factorization of 5460 and 5463. The biggest common factor number is the GCF number.
So the greatest common factor 5460 and 5463 is 3.

Also check out the Least Common Multiple of 5460 and 5463

Properties of GCF 5460 and 5463

(i) The GCF of 5460 and 5463 is associative

GCF of 5460 and 5463 = GCF of 5463 and 5460

Related Greatest Common Factor of 5460

Related Greatest Common Factor of 5463

Frequently Asked Questions on GCF of 5460 and 5463

1. What is the GCF of 5460 and 5463?

Answer: GCF of 5460 and 5463 is 3.

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 5463?

Answer: Factors of 5463 are 1, 3, 9, 607, 1821, 5463. There are 6 integers that are factors of 5463. The greatest factor of 5463 is 5463.

4. How to Find the GCF of 5460 and 5463?

Answer:

Greatest Common Factor of 5460 and 5463 = 3

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 5463

5463 = 3 x 3 x 607

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

GCF = 3

Step 4: Therefore, the greatest common factor of 5460 and 5463 is 3