Greatest Common Factor of 5472 and 5480

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, 5480 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5472 and 5480 is 8.

GCF(5472,5480) = 8

GCF of 5472 and 5480

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

GCF of:
and

Greatest Common Factor of 5472 and 5480

GCF of 5472 and 5480 is 8

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 5480


2 5480
2 2740
2 1370
5 685
137 137
1

Prime factors of 5480 are 2,5,137. Prime factorization of 5480 in exponential form is:

5480 = 23×51×1371

∴ So by taking common prime factors GCF of 5472 and 5480 is 8

Greatest Common Factor of 5472 and 5480 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 5480

List of positive integer factors of 5480 that divides 5480 without a remainder.

1,2,4,5,8,10,20,40,137,274,548,685,1096,1370,2740,5480

Greatest Common Factor

We found the factors and prime factorization of 5472 and 5480. The biggest common factor number is the GCF number.
So the greatest common factor 5472 and 5480 is 8.

Also check out the Least Common Multiple of 5472 and 5480

Properties of GCF 5472 and 5480

(i) The GCF of 5472 and 5480 is associative

GCF of 5472 and 5480 = GCF of 5480 and 5472

Related Greatest Common Factor of 5472

Related Greatest Common Factor of 5480

Frequently Asked Questions on GCF of 5472 and 5480

1. What is the GCF of 5472 and 5480?

Answer: GCF of 5472 and 5480 is 8.

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 5480?

Answer: Factors of 5480 are 1, 2, 4, 5, 8, 10, 20, 40, 137, 274, 548, 685, 1096, 1370, 2740, 5480. There are 16 integers that are factors of 5480. The greatest factor of 5480 is 5480.

4. How to Find the GCF of 5472 and 5480?

Answer:

Greatest Common Factor of 5472 and 5480 = 8

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 5480

5480 = 2 x 2 x 2 x 5 x 137

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 5472 and 5480 is 8