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 272, 275 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 272 and 275 is 1.
GCF(272,275) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 272
2 | 272 |
2 | 136 |
2 | 68 |
2 | 34 |
17 | 17 |
1 |
Prime factors of 272 are 2,17. Prime factorization of 272 in exponential form is:
272 = 24×171
Prime Factorization of 275
5 | 275 |
5 | 55 |
11 | 11 |
1 |
Prime factors of 275 are 5,11. Prime factorization of 275 in exponential form is:
275 = 52×111
∴ So by taking common prime factors GCF of 272 and 275 is 1
Factors of 272
List of positive integer factors of 272 that divides 272 without a remainder.
1,2,4,8,16,17,34,68,136,272
Factors of 275
List of positive integer factors of 275 that divides 275 without a remainder.
1,5,11,25,55,275
Greatest Common Factor
We found the factors and prime factorization of 272 and 275. The biggest common factor number is the GCF number.
So the greatest common factor 272 and 275 is 1.
Also check out the Least Common Multiple of 272 and 275
(i) The GCF of 272 and 275 is associative
GCF of 272 and 275 = GCF of 275 and 272
1. What is the GCF of 272 and 275?
Answer: GCF of 272 and 275 is 1.
2. What are the Factors of 272?
Answer: Factors of 272 are 1, 2, 4, 8, 16, 17, 34, 68, 136, 272. There are 10 integers that are factors of 272. The greatest factor of 272 is 272.
3. What are the Factors of 275?
Answer: Factors of 275 are 1, 5, 11, 25, 55, 275. There are 6 integers that are factors of 275. The greatest factor of 275 is 275.
4. How to Find the GCF of 272 and 275?
Answer:
Greatest Common Factor of 272 and 275 = 1
Step 1: Find the prime factorization of 272
272 = 2 x 2 x 2 x 2 x 17
Step 2: Find the prime factorization of 275
275 = 5 x 5 x 11
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 272 and 275 is 1