Greatest Common Factor of 5460 and 5465

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, 5465 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5460 and 5465 is 5.

GCF(5460,5465) = 5

GCF of 5460 and 5465

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

GCF of:
and

Greatest Common Factor of 5460 and 5465

GCF of 5460 and 5465 is 5

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 5465


5 5465
1093 1093
1

Prime factors of 5465 are 5,1093. Prime factorization of 5465 in exponential form is:

5465 = 51×10931

∴ So by taking common prime factors GCF of 5460 and 5465 is 5

Greatest Common Factor of 5460 and 5465 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 5465

List of positive integer factors of 5465 that divides 5465 without a remainder.

1,5,1093,5465

Greatest Common Factor

We found the factors and prime factorization of 5460 and 5465. The biggest common factor number is the GCF number.
So the greatest common factor 5460 and 5465 is 5.

Also check out the Least Common Multiple of 5460 and 5465

Properties of GCF 5460 and 5465

(i) The GCF of 5460 and 5465 is associative

GCF of 5460 and 5465 = GCF of 5465 and 5460

Related Greatest Common Factor of 5460

Related Greatest Common Factor of 5465

Frequently Asked Questions on GCF of 5460 and 5465

1. What is the GCF of 5460 and 5465?

Answer: GCF of 5460 and 5465 is 5.

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 5465?

Answer: Factors of 5465 are 1, 5, 1093, 5465. There are 4 integers that are factors of 5465. The greatest factor of 5465 is 5465.

4. How to Find the GCF of 5460 and 5465?

Answer:

Greatest Common Factor of 5460 and 5465 = 5

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 5465

5465 = 5 x 1093

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

GCF = 5

Step 4: Therefore, the greatest common factor of 5460 and 5465 is 5