Greatest Common Factor of 4552 and 4560

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 4552, 4560 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4552 and 4560 is 8.

GCF(4552,4560) = 8

GCF of 4552 and 4560

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

GCF of:
and

Greatest Common Factor of 4552 and 4560

GCF of 4552 and 4560 is 8

Prime Factorization of 4552


2 4552
2 2276
2 1138
569 569
1

Prime factors of 4552 are 2,569. Prime factorization of 4552 in exponential form is:

4552 = 23×5691

Prime Factorization of 4560


2 4560
2 2280
2 1140
2 570
3 285
5 95
19 19
1

Prime factors of 4560 are 2,3,5,19. Prime factorization of 4560 in exponential form is:

4560 = 24×31×51×191

∴ So by taking common prime factors GCF of 4552 and 4560 is 8

Greatest Common Factor of 4552 and 4560 by matching factors method

Factors of 4552

List of positive integer factors of 4552 that divides 4552 without a remainder.

1,2,4,8,569,1138,2276,4552

Factors of 4560

List of positive integer factors of 4560 that divides 4560 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,19,20,24,30,38,40,48,57,60,76,80,95,114,120,152,190,228,240,285,304,380,456,570,760,912,1140,1520,2280,4560

Greatest Common Factor

We found the factors and prime factorization of 4552 and 4560. The biggest common factor number is the GCF number.
So the greatest common factor 4552 and 4560 is 8.

Also check out the Least Common Multiple of 4552 and 4560

Properties of GCF 4552 and 4560

(i) The GCF of 4552 and 4560 is associative

GCF of 4552 and 4560 = GCF of 4560 and 4552

Related Greatest Common Factor of 4552

Related Greatest Common Factor of 4560

Frequently Asked Questions on GCF of 4552 and 4560

1. What is the GCF of 4552 and 4560?

Answer: GCF of 4552 and 4560 is 8.

2. What are the Factors of 4552?

Answer: Factors of 4552 are 1, 2, 4, 8, 569, 1138, 2276, 4552. There are 8 integers that are factors of 4552. The greatest factor of 4552 is 4552.

3. What are the Factors of 4560?

Answer: Factors of 4560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 19, 20, 24, 30, 38, 40, 48, 57, 60, 76, 80, 95, 114, 120, 152, 190, 228, 240, 285, 304, 380, 456, 570, 760, 912, 1140, 1520, 2280, 4560. There are 40 integers that are factors of 4560. The greatest factor of 4560 is 4560.

4. How to Find the GCF of 4552 and 4560?

Answer:

Greatest Common Factor of 4552 and 4560 = 8

Step 1: Find the prime factorization of 4552

4552 = 2 x 2 x 2 x 569

Step 2: Find the prime factorization of 4560

4560 = 2 x 2 x 2 x 2 x 3 x 5 x 19

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 4552 and 4560 is 8