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 5232, 5240 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5232 and 5240 is 8.
GCF(5232,5240) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5232
2 | 5232 |
2 | 2616 |
2 | 1308 |
2 | 654 |
3 | 327 |
109 | 109 |
1 |
Prime factors of 5232 are 2,3,109. Prime factorization of 5232 in exponential form is:
5232 = 24×31×1091
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
∴ So by taking common prime factors GCF of 5232 and 5240 is 8
Factors of 5232
List of positive integer factors of 5232 that divides 5232 without a remainder.
1,2,3,4,6,8,12,16,24,48,109,218,327,436,654,872,1308,1744,2616,5232
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
Greatest Common Factor
We found the factors and prime factorization of 5232 and 5240. The biggest common factor number is the GCF number.
So the greatest common factor 5232 and 5240 is 8.
Also check out the Least Common Multiple of 5232 and 5240
(i) The GCF of 5232 and 5240 is associative
GCF of 5232 and 5240 = GCF of 5240 and 5232
1. What is the GCF of 5232 and 5240?
Answer: GCF of 5232 and 5240 is 8.
2. What are the Factors of 5232?
Answer: Factors of 5232 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 109, 218, 327, 436, 654, 872, 1308, 1744, 2616, 5232. There are 20 integers that are factors of 5232. The greatest factor of 5232 is 5232.
3. 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.
4. How to Find the GCF of 5232 and 5240?
Answer:
Greatest Common Factor of 5232 and 5240 = 8
Step 1: Find the prime factorization of 5232
5232 = 2 x 2 x 2 x 2 x 3 x 109
Step 2: Find the prime factorization of 5240
5240 = 2 x 2 x 2 x 5 x 131
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 x 2 = 8
Step 4: Therefore, the greatest common factor of 5232 and 5240 is 8