Greatest Common Factor of 5040 and 5045

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 5040, 5045 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5040 and 5045 is 5.

GCF(5040,5045) = 5

GCF of 5040 and 5045

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

GCF of:
and

Greatest Common Factor of 5040 and 5045

GCF of 5040 and 5045 is 5

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

Prime Factorization of 5045


5 5045
1009 1009
1

Prime factors of 5045 are 5,1009. Prime factorization of 5045 in exponential form is:

5045 = 51×10091

∴ So by taking common prime factors GCF of 5040 and 5045 is 5

Greatest Common Factor of 5040 and 5045 by matching factors method

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

Factors of 5045

List of positive integer factors of 5045 that divides 5045 without a remainder.

1,5,1009,5045

Greatest Common Factor

We found the factors and prime factorization of 5040 and 5045. The biggest common factor number is the GCF number.
So the greatest common factor 5040 and 5045 is 5.

Also check out the Least Common Multiple of 5040 and 5045

Properties of GCF 5040 and 5045

(i) The GCF of 5040 and 5045 is associative

GCF of 5040 and 5045 = GCF of 5045 and 5040

Related Greatest Common Factor of 5040

Related Greatest Common Factor of 5045

Frequently Asked Questions on GCF of 5040 and 5045

1. What is the GCF of 5040 and 5045?

Answer: GCF of 5040 and 5045 is 5.

2. 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.

3. What are the Factors of 5045?

Answer: Factors of 5045 are 1, 5, 1009, 5045. There are 4 integers that are factors of 5045. The greatest factor of 5045 is 5045.

4. How to Find the GCF of 5040 and 5045?

Answer:

Greatest Common Factor of 5040 and 5045 = 5

Step 1: Find the prime factorization of 5040

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

Step 2: Find the prime factorization of 5045

5045 = 5 x 1009

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

GCF = 5

Step 4: Therefore, the greatest common factor of 5040 and 5045 is 5