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 1272, 1276 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1272 and 1276 is 4.
GCF(1272,1276) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1272
2 | 1272 |
2 | 636 |
2 | 318 |
3 | 159 |
53 | 53 |
1 |
Prime factors of 1272 are 2,3,53. Prime factorization of 1272 in exponential form is:
1272 = 23×31×531
Prime Factorization of 1276
2 | 1276 |
2 | 638 |
11 | 319 |
29 | 29 |
1 |
Prime factors of 1276 are 2,11,29. Prime factorization of 1276 in exponential form is:
1276 = 22×111×291
∴ So by taking common prime factors GCF of 1272 and 1276 is 4
Factors of 1272
List of positive integer factors of 1272 that divides 1272 without a remainder.
1,2,3,4,6,8,12,24,53,106,159,212,318,424,636,1272
Factors of 1276
List of positive integer factors of 1276 that divides 1276 without a remainder.
1,2,4,11,22,29,44,58,116,319,638,1276
Greatest Common Factor
We found the factors and prime factorization of 1272 and 1276. The biggest common factor number is the GCF number.
So the greatest common factor 1272 and 1276 is 4.
Also check out the Least Common Multiple of 1272 and 1276
(i) The GCF of 1272 and 1276 is associative
GCF of 1272 and 1276 = GCF of 1276 and 1272
1. What is the GCF of 1272 and 1276?
Answer: GCF of 1272 and 1276 is 4.
2. What are the Factors of 1272?
Answer: Factors of 1272 are 1, 2, 3, 4, 6, 8, 12, 24, 53, 106, 159, 212, 318, 424, 636, 1272. There are 16 integers that are factors of 1272. The greatest factor of 1272 is 1272.
3. What are the Factors of 1276?
Answer: Factors of 1276 are 1, 2, 4, 11, 22, 29, 44, 58, 116, 319, 638, 1276. There are 12 integers that are factors of 1276. The greatest factor of 1276 is 1276.
4. How to Find the GCF of 1272 and 1276?
Answer:
Greatest Common Factor of 1272 and 1276 = 4
Step 1: Find the prime factorization of 1272
1272 = 2 x 2 x 2 x 3 x 53
Step 2: Find the prime factorization of 1276
1276 = 2 x 2 x 11 x 29
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 1272 and 1276 is 4