Greatest Common Factor of 5472 and 5474

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 5472, 5474 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5472 and 5474 is 2.

GCF(5472,5474) = 2

GCF of 5472 and 5474

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

GCF of:
and

Greatest Common Factor of 5472 and 5474

GCF of 5472 and 5474 is 2

Prime Factorization of 5472


2 5472
2 2736
2 1368
2 684
2 342
3 171
3 57
19 19
1

Prime factors of 5472 are 2,3,19. Prime factorization of 5472 in exponential form is:

5472 = 25×32×191

Prime Factorization of 5474


2 5474
7 2737
17 391
23 23
1

Prime factors of 5474 are 2,7,17,23. Prime factorization of 5474 in exponential form is:

5474 = 21×71×171×231

∴ So by taking common prime factors GCF of 5472 and 5474 is 2

Greatest Common Factor of 5472 and 5474 by matching factors method

Factors of 5472

List of positive integer factors of 5472 that divides 5472 without a remainder.

1,2,3,4,6,8,9,12,16,18,19,24,32,36,38,48,57,72,76,96,114,144,152,171,228,288,304,342,456,608,684,912,1368,1824,2736,5472

Factors of 5474

List of positive integer factors of 5474 that divides 5474 without a remainder.

1,2,7,14,17,23,34,46,119,161,238,322,391,782,2737,5474

Greatest Common Factor

We found the factors and prime factorization of 5472 and 5474. The biggest common factor number is the GCF number.
So the greatest common factor 5472 and 5474 is 2.

Also check out the Least Common Multiple of 5472 and 5474

Properties of GCF 5472 and 5474

(i) The GCF of 5472 and 5474 is associative

GCF of 5472 and 5474 = GCF of 5474 and 5472

Related Greatest Common Factor of 5472

Related Greatest Common Factor of 5474

Frequently Asked Questions on GCF of 5472 and 5474

1. What is the GCF of 5472 and 5474?

Answer: GCF of 5472 and 5474 is 2.

2. What are the Factors of 5472?

Answer: Factors of 5472 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 32, 36, 38, 48, 57, 72, 76, 96, 114, 144, 152, 171, 228, 288, 304, 342, 456, 608, 684, 912, 1368, 1824, 2736, 5472. There are 36 integers that are factors of 5472. The greatest factor of 5472 is 5472.

3. What are the Factors of 5474?

Answer: Factors of 5474 are 1, 2, 7, 14, 17, 23, 34, 46, 119, 161, 238, 322, 391, 782, 2737, 5474. There are 16 integers that are factors of 5474. The greatest factor of 5474 is 5474.

4. How to Find the GCF of 5472 and 5474?

Answer:

Greatest Common Factor of 5472 and 5474 = 2

Step 1: Find the prime factorization of 5472

5472 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 19

Step 2: Find the prime factorization of 5474

5474 = 2 x 7 x 17 x 23

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

GCF = 2

Step 4: Therefore, the greatest common factor of 5472 and 5474 is 2