Greatest Common Factor of 5460 and 5464

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, 5464 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5460 and 5464 is 4.

GCF(5460,5464) = 4

GCF of 5460 and 5464

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

GCF of:
and

Greatest Common Factor of 5460 and 5464

GCF of 5460 and 5464 is 4

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 5464


2 5464
2 2732
2 1366
683 683
1

Prime factors of 5464 are 2,683. Prime factorization of 5464 in exponential form is:

5464 = 23×6831

∴ So by taking common prime factors GCF of 5460 and 5464 is 4

Greatest Common Factor of 5460 and 5464 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 5464

List of positive integer factors of 5464 that divides 5464 without a remainder.

1,2,4,8,683,1366,2732,5464

Greatest Common Factor

We found the factors and prime factorization of 5460 and 5464. The biggest common factor number is the GCF number.
So the greatest common factor 5460 and 5464 is 4.

Also check out the Least Common Multiple of 5460 and 5464

Properties of GCF 5460 and 5464

(i) The GCF of 5460 and 5464 is associative

GCF of 5460 and 5464 = GCF of 5464 and 5460

Related Greatest Common Factor of 5460

Related Greatest Common Factor of 5464

Frequently Asked Questions on GCF of 5460 and 5464

1. What is the GCF of 5460 and 5464?

Answer: GCF of 5460 and 5464 is 4.

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 5464?

Answer: Factors of 5464 are 1, 2, 4, 8, 683, 1366, 2732, 5464. There are 8 integers that are factors of 5464. The greatest factor of 5464 is 5464.

4. How to Find the GCF of 5460 and 5464?

Answer:

Greatest Common Factor of 5460 and 5464 = 4

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 5464

5464 = 2 x 2 x 2 x 683

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 5460 and 5464 is 4