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 5039, 5040 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5039 and 5040 is 1.
GCF(5039,5040) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5039
5039 | 5039 |
1 |
Prime factors of 5039 are 5039. Prime factorization of 5039 in exponential form is:
5039 = 50391
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.Prime factorization of 5040 in exponential form is:
5040 = 24×32×51×71
∴ So by taking common prime factors GCF of 5039 and 5040 is 1
Factors of 5039
List of positive integer factors of 5039 that divides 5039 without a remainder.
1,5039
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 5039 and 5040. The biggest common factor number is the GCF number.
So the greatest common factor 5039 and 5040 is 1.
Also check out the Least Common Multiple of 5039 and 5040
(i) The GCF of 5039 and 5040 is associative
GCF of 5039 and 5040 = GCF of 5040 and 5039
1. What is the GCF of 5039 and 5040?
Answer: GCF of 5039 and 5040 is 1.
2. What are the Factors of 5039?
Answer: Factors of 5039 are 1, 5039. There are 2 integers that are factors of 5039. The greatest factor of 5039 is 5039.
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 5039 and 5040?
Answer:
Greatest Common Factor of 5039 and 5040 = 1
Step 1: Find the prime factorization of 5039
5039 = 5039
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 = = 1
Step 4: Therefore, the greatest common factor of 5039 and 5040 is 1