Greatest Common Factor of 5472 and 5476

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, 5476 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5472 and 5476 is 4.

GCF(5472,5476) = 4

GCF of 5472 and 5476

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

GCF of:
and

Greatest Common Factor of 5472 and 5476

GCF of 5472 and 5476 is 4

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 5476


2 5476
2 2738
37 1369
37 37
1

Prime factors of 5476 are 2,37. Prime factorization of 5476 in exponential form is:

5476 = 22×372

∴ So by taking common prime factors GCF of 5472 and 5476 is 4

Greatest Common Factor of 5472 and 5476 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 5476

List of positive integer factors of 5476 that divides 5476 without a remainder.

1,2,4,37,74,148,1369,2738,5476

Greatest Common Factor

We found the factors and prime factorization of 5472 and 5476. The biggest common factor number is the GCF number.
So the greatest common factor 5472 and 5476 is 4.

Also check out the Least Common Multiple of 5472 and 5476

Properties of GCF 5472 and 5476

(i) The GCF of 5472 and 5476 is associative

GCF of 5472 and 5476 = GCF of 5476 and 5472

Related Greatest Common Factor of 5472

Related Greatest Common Factor of 5476

Frequently Asked Questions on GCF of 5472 and 5476

1. What is the GCF of 5472 and 5476?

Answer: GCF of 5472 and 5476 is 4.

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 5476?

Answer: Factors of 5476 are 1, 2, 4, 37, 74, 148, 1369, 2738, 5476. There are 9 integers that are factors of 5476. The greatest factor of 5476 is 5476.

4. How to Find the GCF of 5472 and 5476?

Answer:

Greatest Common Factor of 5472 and 5476 = 4

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 5476

5476 = 2 x 2 x 37 x 37

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 5472 and 5476 is 4