Greatest Common Factor of 5040 and 5042

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, 5042 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5040 and 5042 is 2.

GCF(5040,5042) = 2

GCF of 5040 and 5042

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

GCF of:
and

Greatest Common Factor of 5040 and 5042

GCF of 5040 and 5042 is 2

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 5042


2 5042
2521 2521
1

Prime factors of 5042 are 2,2521. Prime factorization of 5042 in exponential form is:

5042 = 21×25211

∴ So by taking common prime factors GCF of 5040 and 5042 is 2

Greatest Common Factor of 5040 and 5042 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 5042

List of positive integer factors of 5042 that divides 5042 without a remainder.

1,2,2521,5042

Greatest Common Factor

We found the factors and prime factorization of 5040 and 5042. The biggest common factor number is the GCF number.
So the greatest common factor 5040 and 5042 is 2.

Also check out the Least Common Multiple of 5040 and 5042

Properties of GCF 5040 and 5042

(i) The GCF of 5040 and 5042 is associative

GCF of 5040 and 5042 = GCF of 5042 and 5040

Related Greatest Common Factor of 5040

Related Greatest Common Factor of 5042

Frequently Asked Questions on GCF of 5040 and 5042

1. What is the GCF of 5040 and 5042?

Answer: GCF of 5040 and 5042 is 2.

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 5042?

Answer: Factors of 5042 are 1, 2, 2521, 5042. There are 4 integers that are factors of 5042. The greatest factor of 5042 is 5042.

4. How to Find the GCF of 5040 and 5042?

Answer:

Greatest Common Factor of 5040 and 5042 = 2

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 5042

5042 = 2 x 2521

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

GCF = 2

Step 4: Therefore, the greatest common factor of 5040 and 5042 is 2