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 252, 255 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 252 and 255 is 3.
GCF(252,255) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 252
2 | 252 |
2 | 126 |
3 | 63 |
3 | 21 |
7 | 7 |
1 |
Prime factors of 252 are 2,3,7. Prime factorization of 252 in exponential form is:
252 = 22×32×71
Prime Factorization of 255
3 | 255 |
5 | 85 |
17 | 17 |
1 |
Prime factors of 255 are 3,5,17. Prime factorization of 255 in exponential form is:
255 = 31×51×171
∴ So by taking common prime factors GCF of 252 and 255 is 3
Factors of 252
List of positive integer factors of 252 that divides 252 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252
Factors of 255
List of positive integer factors of 255 that divides 255 without a remainder.
1,3,5,15,17,51,85,255
Greatest Common Factor
We found the factors and prime factorization of 252 and 255. The biggest common factor number is the GCF number.
So the greatest common factor 252 and 255 is 3.
Also check out the Least Common Multiple of 252 and 255
(i) The GCF of 252 and 255 is associative
GCF of 252 and 255 = GCF of 255 and 252
1. What is the GCF of 252 and 255?
Answer: GCF of 252 and 255 is 3.
2. What are the Factors of 252?
Answer: Factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252. There are 18 integers that are factors of 252. The greatest factor of 252 is 252.
3. What are the Factors of 255?
Answer: Factors of 255 are 1, 3, 5, 15, 17, 51, 85, 255. There are 8 integers that are factors of 255. The greatest factor of 255 is 255.
4. How to Find the GCF of 252 and 255?
Answer:
Greatest Common Factor of 252 and 255 = 3
Step 1: Find the prime factorization of 252
252 = 2 x 2 x 3 x 3 x 7
Step 2: Find the prime factorization of 255
255 = 3 x 5 x 17
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 252 and 255 is 3