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 15250, 15255 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 15250 and 15255 is 5.
GCF(15250,15255) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 15250
2 | 15250 |
5 | 7625 |
5 | 1525 |
5 | 305 |
61 | 61 |
1 |
Prime factors of 15250 are 2,5,61. Prime factorization of 15250 in exponential form is:
15250 = 21×53×611
Prime Factorization of 15255
3 | 15255 |
3 | 5085 |
3 | 1695 |
5 | 565 |
113 | 113 |
1 |
Prime factors of 15255 are 3,5,113. Prime factorization of 15255 in exponential form is:
15255 = 33×51×1131
∴ So by taking common prime factors GCF of 15250 and 15255 is 5
Factors of 15250
List of positive integer factors of 15250 that divides 15250 without a remainder.
1,2,5,10,25,50,61,122,125,250,305,610,1525,3050,7625,15250
Factors of 15255
List of positive integer factors of 15255 that divides 15255 without a remainder.
1,3,5,9,15,27,45,113,135,339,565,1017,1695,3051,5085,15255
Greatest Common Factor
We found the factors and prime factorization of 15250 and 15255. The biggest common factor number is the GCF number.
So the greatest common factor 15250 and 15255 is 5.
Also check out the Least Common Multiple of 15250 and 15255
(i) The GCF of 15250 and 15255 is associative
GCF of 15250 and 15255 = GCF of 15255 and 15250
1. What is the GCF of 15250 and 15255?
Answer: GCF of 15250 and 15255 is 5.
2. What are the Factors of 15250?
Answer: Factors of 15250 are 1, 2, 5, 10, 25, 50, 61, 122, 125, 250, 305, 610, 1525, 3050, 7625, 15250. There are 16 integers that are factors of 15250. The greatest factor of 15250 is 15250.
3. What are the Factors of 15255?
Answer: Factors of 15255 are 1, 3, 5, 9, 15, 27, 45, 113, 135, 339, 565, 1017, 1695, 3051, 5085, 15255. There are 16 integers that are factors of 15255. The greatest factor of 15255 is 15255.
4. How to Find the GCF of 15250 and 15255?
Answer:
Greatest Common Factor of 15250 and 15255 = 5
Step 1: Find the prime factorization of 15250
15250 = 2 x 5 x 5 x 5 x 61
Step 2: Find the prime factorization of 15255
15255 = 3 x 3 x 3 x 5 x 113
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 15250 and 15255 is 5