Greatest Common Factor of 5040 and 5047

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, 5047 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5040 and 5047 is 7.

GCF(5040,5047) = 7

GCF of 5040 and 5047

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

GCF of:
and

Greatest Common Factor of 5040 and 5047

GCF of 5040 and 5047 is 7

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 5047


7 5047
7 721
103 103
1

Prime factors of 5047 are 7,103. Prime factorization of 5047 in exponential form is:

5047 = 72×1031

∴ So by taking common prime factors GCF of 5040 and 5047 is 7

Greatest Common Factor of 5040 and 5047 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 5047

List of positive integer factors of 5047 that divides 5047 without a remainder.

1,7,49,103,721,5047

Greatest Common Factor

We found the factors and prime factorization of 5040 and 5047. The biggest common factor number is the GCF number.
So the greatest common factor 5040 and 5047 is 7.

Also check out the Least Common Multiple of 5040 and 5047

Properties of GCF 5040 and 5047

(i) The GCF of 5040 and 5047 is associative

GCF of 5040 and 5047 = GCF of 5047 and 5040

Related Greatest Common Factor of 5040

Related Greatest Common Factor of 5047

Frequently Asked Questions on GCF of 5040 and 5047

1. What is the GCF of 5040 and 5047?

Answer: GCF of 5040 and 5047 is 7.

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 5047?

Answer: Factors of 5047 are 1, 7, 49, 103, 721, 5047. There are 6 integers that are factors of 5047. The greatest factor of 5047 is 5047.

4. How to Find the GCF of 5040 and 5047?

Answer:

Greatest Common Factor of 5040 and 5047 = 7

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 5047

5047 = 7 x 7 x 103

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

GCF = 7

Step 4: Therefore, the greatest common factor of 5040 and 5047 is 7