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 15244, 15252 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 15244 and 15252 is 4.
GCF(15244,15252) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 15244
2 | 15244 |
2 | 7622 |
37 | 3811 |
103 | 103 |
1 |
Prime factors of 15244 are 2,37,103. Prime factorization of 15244 in exponential form is:
15244 = 22×371×1031
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
∴ So by taking common prime factors GCF of 15244 and 15252 is 4
Factors of 15244
List of positive integer factors of 15244 that divides 15244 without a remainder.
1,2,4,37,74,103,148,206,412,3811,7622,15244
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
Greatest Common Factor
We found the factors and prime factorization of 15244 and 15252. The biggest common factor number is the GCF number.
So the greatest common factor 15244 and 15252 is 4.
Also check out the Least Common Multiple of 15244 and 15252
(i) The GCF of 15244 and 15252 is associative
GCF of 15244 and 15252 = GCF of 15252 and 15244
1. What is the GCF of 15244 and 15252?
Answer: GCF of 15244 and 15252 is 4.
2. What are the Factors of 15244?
Answer: Factors of 15244 are 1, 2, 4, 37, 74, 103, 148, 206, 412, 3811, 7622, 15244. There are 12 integers that are factors of 15244. The greatest factor of 15244 is 15244.
3. 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.
4. How to Find the GCF of 15244 and 15252?
Answer:
Greatest Common Factor of 15244 and 15252 = 4
Step 1: Find the prime factorization of 15244
15244 = 2 x 2 x 37 x 103
Step 2: Find the prime factorization of 15252
15252 = 2 x 2 x 3 x 31 x 41
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 15244 and 15252 is 4