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 267, 274 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 267 and 274 is 1.
GCF(267,274) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 267
3 | 267 |
89 | 89 |
1 |
Prime factors of 267 are 3,89. Prime factorization of 267 in exponential form is:
267 = 31×891
Prime Factorization of 274
2 | 274 |
137 | 137 |
1 |
Prime factors of 274 are 2,137. Prime factorization of 274 in exponential form is:
274 = 21×1371
∴ So by taking common prime factors GCF of 267 and 274 is 1
Factors of 267
List of positive integer factors of 267 that divides 267 without a remainder.
1,3,89,267
Factors of 274
List of positive integer factors of 274 that divides 274 without a remainder.
1,2,137,274
Greatest Common Factor
We found the factors and prime factorization of 267 and 274. The biggest common factor number is the GCF number.
So the greatest common factor 267 and 274 is 1.
Also check out the Least Common Multiple of 267 and 274
(i) The GCF of 267 and 274 is associative
GCF of 267 and 274 = GCF of 274 and 267
1. What is the GCF of 267 and 274?
Answer: GCF of 267 and 274 is 1.
2. What are the Factors of 267?
Answer: Factors of 267 are 1, 3, 89, 267. There are 4 integers that are factors of 267. The greatest factor of 267 is 267.
3. What are the Factors of 274?
Answer: Factors of 274 are 1, 2, 137, 274. There are 4 integers that are factors of 274. The greatest factor of 274 is 274.
4. How to Find the GCF of 267 and 274?
Answer:
Greatest Common Factor of 267 and 274 = 1
Step 1: Find the prime factorization of 267
267 = 3 x 89
Step 2: Find the prime factorization of 274
274 = 2 x 137
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 267 and 274 is 1