Greatest Common Factor of 5453 and 5460

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 5453, 5460 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5453 and 5460 is 7.

GCF(5453,5460) = 7

GCF of 5453 and 5460

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

GCF of:
and

Greatest Common Factor of 5453 and 5460

GCF of 5453 and 5460 is 7

Prime Factorization of 5453


7 5453
19 779
41 41
1

Prime factors of 5453 are 7,19,41. Prime factorization of 5453 in exponential form is:

5453 = 71×191×411

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

∴ So by taking common prime factors GCF of 5453 and 5460 is 7

Greatest Common Factor of 5453 and 5460 by matching factors method

Factors of 5453

List of positive integer factors of 5453 that divides 5453 without a remainder.

1,7,19,41,133,287,779,5453

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

Greatest Common Factor

We found the factors and prime factorization of 5453 and 5460. The biggest common factor number is the GCF number.
So the greatest common factor 5453 and 5460 is 7.

Also check out the Least Common Multiple of 5453 and 5460

Properties of GCF 5453 and 5460

(i) The GCF of 5453 and 5460 is associative

GCF of 5453 and 5460 = GCF of 5460 and 5453

Related Greatest Common Factor of 5453

Related Greatest Common Factor of 5460

Frequently Asked Questions on GCF of 5453 and 5460

1. What is the GCF of 5453 and 5460?

Answer: GCF of 5453 and 5460 is 7.

2. What are the Factors of 5453?

Answer: Factors of 5453 are 1, 7, 19, 41, 133, 287, 779, 5453. There are 8 integers that are factors of 5453. The greatest factor of 5453 is 5453.

3. 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.

4. How to Find the GCF of 5453 and 5460?

Answer:

Greatest Common Factor of 5453 and 5460 = 7

Step 1: Find the prime factorization of 5453

5453 = 7 x 19 x 41

Step 2: Find the prime factorization of 5460

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

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 5453 and 5460 is 7