Greatest Common Factor of 5040 and 5046

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, 5046 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5040 and 5046 is 6.

GCF(5040,5046) = 6

GCF of 5040 and 5046

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

GCF of:
and

Greatest Common Factor of 5040 and 5046

GCF of 5040 and 5046 is 6

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 5046


2 5046
3 2523
29 841
29 29
1

Prime factors of 5046 are 2,3,29. Prime factorization of 5046 in exponential form is:

5046 = 21×31×292

∴ So by taking common prime factors GCF of 5040 and 5046 is 6

Greatest Common Factor of 5040 and 5046 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 5046

List of positive integer factors of 5046 that divides 5046 without a remainder.

1,2,3,6,29,58,87,174,841,1682,2523,5046

Greatest Common Factor

We found the factors and prime factorization of 5040 and 5046. The biggest common factor number is the GCF number.
So the greatest common factor 5040 and 5046 is 6.

Also check out the Least Common Multiple of 5040 and 5046

Properties of GCF 5040 and 5046

(i) The GCF of 5040 and 5046 is associative

GCF of 5040 and 5046 = GCF of 5046 and 5040

Related Greatest Common Factor of 5040

Related Greatest Common Factor of 5046

Frequently Asked Questions on GCF of 5040 and 5046

1. What is the GCF of 5040 and 5046?

Answer: GCF of 5040 and 5046 is 6.

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 5046?

Answer: Factors of 5046 are 1, 2, 3, 6, 29, 58, 87, 174, 841, 1682, 2523, 5046. There are 12 integers that are factors of 5046. The greatest factor of 5046 is 5046.

4. How to Find the GCF of 5040 and 5046?

Answer:

Greatest Common Factor of 5040 and 5046 = 6

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 5046

5046 = 2 x 3 x 29 x 29

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 5040 and 5046 is 6