Greatest Common Factor of 5032 and 5040

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 5032, 5040 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5032 and 5040 is 8.

GCF(5032,5040) = 8

GCF of 5032 and 5040

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

GCF of:
and

Greatest Common Factor of 5032 and 5040

GCF of 5032 and 5040 is 8

Prime Factorization of 5032


2 5032
2 2516
2 1258
17 629
37 37
1

Prime factors of 5032 are 2,17,37. Prime factorization of 5032 in exponential form is:

5032 = 23×171×371

Prime Factorization of 5040


2 5040
2 2520
2 1260
2 630
3 315
3 105
5 35
7 7
1

Prime factors of 5040 are 2,3,5,7. Prime factorization of 5040 in exponential form is:

5040 = 24×32×51×71

∴ So by taking common prime factors GCF of 5032 and 5040 is 8

Greatest Common Factor of 5032 and 5040 by matching factors method

Factors of 5032

List of positive integer factors of 5032 that divides 5032 without a remainder.

1,2,4,8,17,34,37,68,74,136,148,296,629,1258,2516,5032

Factors of 5040

List of positive integer factors of 5040 that divides 5040 without a remainder.

1,2,3,4,5,6,7,8,9,10,12,14,15,16,18,20,21,24,28,30,35,36,40,42,45,48,56,60,63,70,72,80,84,90,105,112,120,126,140,144,168,180,210,240,252,280,315,336,360,420,504,560,630,720,840,1008,1260,1680,2520,5040

Greatest Common Factor

We found the factors and prime factorization of 5032 and 5040. The biggest common factor number is the GCF number.
So the greatest common factor 5032 and 5040 is 8.

Also check out the Least Common Multiple of 5032 and 5040

Properties of GCF 5032 and 5040

(i) The GCF of 5032 and 5040 is associative

GCF of 5032 and 5040 = GCF of 5040 and 5032

Related Greatest Common Factor of 5032

Related Greatest Common Factor of 5040

Frequently Asked Questions on GCF of 5032 and 5040

1. What is the GCF of 5032 and 5040?

Answer: GCF of 5032 and 5040 is 8.

2. What are the Factors of 5032?

Answer: Factors of 5032 are 1, 2, 4, 8, 17, 34, 37, 68, 74, 136, 148, 296, 629, 1258, 2516, 5032. There are 16 integers that are factors of 5032. The greatest factor of 5032 is 5032.

3. What are the Factors of 5040?

Answer: Factors of 5040 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 105, 112, 120, 126, 140, 144, 168, 180, 210, 240, 252, 280, 315, 336, 360, 420, 504, 560, 630, 720, 840, 1008, 1260, 1680, 2520, 5040. There are 60 integers that are factors of 5040. The greatest factor of 5040 is 5040.

4. How to Find the GCF of 5032 and 5040?

Answer:

Greatest Common Factor of 5032 and 5040 = 8

Step 1: Find the prime factorization of 5032

5032 = 2 x 2 x 2 x 17 x 37

Step 2: Find the prime factorization of 5040

5040 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7

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 5032 and 5040 is 8