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 1274, 1278 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1274 and 1278 is 2.
GCF(1274,1278) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1274
2 | 1274 |
7 | 637 |
7 | 91 |
13 | 13 |
1 |
Prime factors of 1274 are 2,7,13. Prime factorization of 1274 in exponential form is:
1274 = 21×72×131
Prime Factorization of 1278
2 | 1278 |
3 | 639 |
3 | 213 |
71 | 71 |
1 |
Prime factors of 1278 are 2,3,71. Prime factorization of 1278 in exponential form is:
1278 = 21×32×711
∴ So by taking common prime factors GCF of 1274 and 1278 is 2
Factors of 1274
List of positive integer factors of 1274 that divides 1274 without a remainder.
1,2,7,13,14,26,49,91,98,182,637,1274
Factors of 1278
List of positive integer factors of 1278 that divides 1278 without a remainder.
1,2,3,6,9,18,71,142,213,426,639,1278
Greatest Common Factor
We found the factors and prime factorization of 1274 and 1278. The biggest common factor number is the GCF number.
So the greatest common factor 1274 and 1278 is 2.
Also check out the Least Common Multiple of 1274 and 1278
(i) The GCF of 1274 and 1278 is associative
GCF of 1274 and 1278 = GCF of 1278 and 1274
1. What is the GCF of 1274 and 1278?
Answer: GCF of 1274 and 1278 is 2.
2. What are the Factors of 1274?
Answer: Factors of 1274 are 1, 2, 7, 13, 14, 26, 49, 91, 98, 182, 637, 1274. There are 12 integers that are factors of 1274. The greatest factor of 1274 is 1274.
3. What are the Factors of 1278?
Answer: Factors of 1278 are 1, 2, 3, 6, 9, 18, 71, 142, 213, 426, 639, 1278. There are 12 integers that are factors of 1278. The greatest factor of 1278 is 1278.
4. How to Find the GCF of 1274 and 1278?
Answer:
Greatest Common Factor of 1274 and 1278 = 2
Step 1: Find the prime factorization of 1274
1274 = 2 x 7 x 7 x 13
Step 2: Find the prime factorization of 1278
1278 = 2 x 3 x 3 x 71
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 1274 and 1278 is 2