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 1254, 1261 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1254 and 1261 is 1.
GCF(1254,1261) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1254
2 | 1254 |
3 | 627 |
11 | 209 |
19 | 19 |
1 |
Prime factors of 1254 are 2,3,11,19. Prime factorization of 1254 in exponential form is:
1254 = 21×31×111×191
Prime Factorization of 1261
13 | 1261 |
97 | 97 |
1 |
Prime factors of 1261 are 13,97. Prime factorization of 1261 in exponential form is:
1261 = 131×971
∴ So by taking common prime factors GCF of 1254 and 1261 is 1
Factors of 1254
List of positive integer factors of 1254 that divides 1254 without a remainder.
1,2,3,6,11,19,22,33,38,57,66,114,209,418,627,1254
Factors of 1261
List of positive integer factors of 1261 that divides 1261 without a remainder.
1,13,97,1261
Greatest Common Factor
We found the factors and prime factorization of 1254 and 1261. The biggest common factor number is the GCF number.
So the greatest common factor 1254 and 1261 is 1.
Also check out the Least Common Multiple of 1254 and 1261
(i) The GCF of 1254 and 1261 is associative
GCF of 1254 and 1261 = GCF of 1261 and 1254
1. What is the GCF of 1254 and 1261?
Answer: GCF of 1254 and 1261 is 1.
2. What are the Factors of 1254?
Answer: Factors of 1254 are 1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 66, 114, 209, 418, 627, 1254. There are 16 integers that are factors of 1254. The greatest factor of 1254 is 1254.
3. What are the Factors of 1261?
Answer: Factors of 1261 are 1, 13, 97, 1261. There are 4 integers that are factors of 1261. The greatest factor of 1261 is 1261.
4. How to Find the GCF of 1254 and 1261?
Answer:
Greatest Common Factor of 1254 and 1261 = 1
Step 1: Find the prime factorization of 1254
1254 = 2 x 3 x 11 x 19
Step 2: Find the prime factorization of 1261
1261 = 13 x 97
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 1254 and 1261 is 1