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 5172, 5180 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5172 and 5180 is 4.
GCF(5172,5180) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5172
2 | 5172 |
2 | 2586 |
3 | 1293 |
431 | 431 |
1 |
Prime factors of 5172 are 2,3,431. Prime factorization of 5172 in exponential form is:
5172 = 22×31×4311
Prime Factorization of 5180
2 | 5180 |
2 | 2590 |
5 | 1295 |
7 | 259 |
37 | 37 |
1 |
Prime factors of 5180 are 2,5,7,37. Prime factorization of 5180 in exponential form is:
5180 = 22×51×71×371
∴ So by taking common prime factors GCF of 5172 and 5180 is 4
Factors of 5172
List of positive integer factors of 5172 that divides 5172 without a remainder.
1,2,3,4,6,12,431,862,1293,1724,2586,5172
Factors of 5180
List of positive integer factors of 5180 that divides 5180 without a remainder.
1,2,4,5,7,10,14,20,28,35,37,70,74,140,148,185,259,370,518,740,1036,1295,2590,5180
Greatest Common Factor
We found the factors and prime factorization of 5172 and 5180. The biggest common factor number is the GCF number.
So the greatest common factor 5172 and 5180 is 4.
Also check out the Least Common Multiple of 5172 and 5180
(i) The GCF of 5172 and 5180 is associative
GCF of 5172 and 5180 = GCF of 5180 and 5172
1. What is the GCF of 5172 and 5180?
Answer: GCF of 5172 and 5180 is 4.
2. What are the Factors of 5172?
Answer: Factors of 5172 are 1, 2, 3, 4, 6, 12, 431, 862, 1293, 1724, 2586, 5172. There are 12 integers that are factors of 5172. The greatest factor of 5172 is 5172.
3. What are the Factors of 5180?
Answer: Factors of 5180 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 37, 70, 74, 140, 148, 185, 259, 370, 518, 740, 1036, 1295, 2590, 5180. There are 24 integers that are factors of 5180. The greatest factor of 5180 is 5180.
4. How to Find the GCF of 5172 and 5180?
Answer:
Greatest Common Factor of 5172 and 5180 = 4
Step 1: Find the prime factorization of 5172
5172 = 2 x 2 x 3 x 431
Step 2: Find the prime factorization of 5180
5180 = 2 x 2 x 5 x 7 x 37
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 5172 and 5180 is 4