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 15252, 15256 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 15252 and 15256 is 4.
GCF(15252,15256) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 15252
2 | 15252 |
2 | 7626 |
3 | 3813 |
31 | 1271 |
41 | 41 |
1 |
Prime factors of 15252 are 2,3,31,41. Prime factorization of 15252 in exponential form is:
15252 = 22×31×311×411
Prime Factorization of 15256
2 | 15256 |
2 | 7628 |
2 | 3814 |
1907 | 1907 |
1 |
Prime factors of 15256 are 2,1907. Prime factorization of 15256 in exponential form is:
15256 = 23×19071
∴ So by taking common prime factors GCF of 15252 and 15256 is 4
Factors of 15252
List of positive integer factors of 15252 that divides 15252 without a remainder.
1,2,3,4,6,12,31,41,62,82,93,123,124,164,186,246,372,492,1271,2542,3813,5084,7626,15252
Factors of 15256
List of positive integer factors of 15256 that divides 15256 without a remainder.
1,2,4,8,1907,3814,7628,15256
Greatest Common Factor
We found the factors and prime factorization of 15252 and 15256. The biggest common factor number is the GCF number.
So the greatest common factor 15252 and 15256 is 4.
Also check out the Least Common Multiple of 15252 and 15256
(i) The GCF of 15252 and 15256 is associative
GCF of 15252 and 15256 = GCF of 15256 and 15252
1. What is the GCF of 15252 and 15256?
Answer: GCF of 15252 and 15256 is 4.
2. What are the Factors of 15252?
Answer: Factors of 15252 are 1, 2, 3, 4, 6, 12, 31, 41, 62, 82, 93, 123, 124, 164, 186, 246, 372, 492, 1271, 2542, 3813, 5084, 7626, 15252. There are 24 integers that are factors of 15252. The greatest factor of 15252 is 15252.
3. What are the Factors of 15256?
Answer: Factors of 15256 are 1, 2, 4, 8, 1907, 3814, 7628, 15256. There are 8 integers that are factors of 15256. The greatest factor of 15256 is 15256.
4. How to Find the GCF of 15252 and 15256?
Answer:
Greatest Common Factor of 15252 and 15256 = 4
Step 1: Find the prime factorization of 15252
15252 = 2 x 2 x 3 x 31 x 41
Step 2: Find the prime factorization of 15256
15256 = 2 x 2 x 2 x 1907
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 15252 and 15256 is 4