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 5240, 5243 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5240 and 5243 is 1.
GCF(5240,5243) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5240
2 | 5240 |
2 | 2620 |
2 | 1310 |
5 | 655 |
131 | 131 |
1 |
Prime factors of 5240 are 2,5,131. Prime factorization of 5240 in exponential form is:
5240 = 23×51×1311
Prime Factorization of 5243
7 | 5243 |
7 | 749 |
107 | 107 |
1 |
Prime factors of 5243 are 7,107. Prime factorization of 5243 in exponential form is:
5243 = 72×1071
∴ So by taking common prime factors GCF of 5240 and 5243 is 1
Factors of 5240
List of positive integer factors of 5240 that divides 5240 without a remainder.
1,2,4,5,8,10,20,40,131,262,524,655,1048,1310,2620,5240
Factors of 5243
List of positive integer factors of 5243 that divides 5243 without a remainder.
1,7,49,107,749,5243
Greatest Common Factor
We found the factors and prime factorization of 5240 and 5243. The biggest common factor number is the GCF number.
So the greatest common factor 5240 and 5243 is 1.
Also check out the Least Common Multiple of 5240 and 5243
(i) The GCF of 5240 and 5243 is associative
GCF of 5240 and 5243 = GCF of 5243 and 5240
1. What is the GCF of 5240 and 5243?
Answer: GCF of 5240 and 5243 is 1.
2. What are the Factors of 5240?
Answer: Factors of 5240 are 1, 2, 4, 5, 8, 10, 20, 40, 131, 262, 524, 655, 1048, 1310, 2620, 5240. There are 16 integers that are factors of 5240. The greatest factor of 5240 is 5240.
3. What are the Factors of 5243?
Answer: Factors of 5243 are 1, 7, 49, 107, 749, 5243. There are 6 integers that are factors of 5243. The greatest factor of 5243 is 5243.
4. How to Find the GCF of 5240 and 5243?
Answer:
Greatest Common Factor of 5240 and 5243 = 1
Step 1: Find the prime factorization of 5240
5240 = 2 x 2 x 2 x 5 x 131
Step 2: Find the prime factorization of 5243
5243 = 7 x 7 x 107
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 5240 and 5243 is 1