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 1432, 1434 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1432 and 1434 is 2.
GCF(1432,1434) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1432
2 | 1432 |
2 | 716 |
2 | 358 |
179 | 179 |
1 |
Prime factors of 1432 are 2,179. Prime factorization of 1432 in exponential form is:
1432 = 23×1791
Prime Factorization of 1434
2 | 1434 |
3 | 717 |
239 | 239 |
1 |
Prime factors of 1434 are 2,3,239. Prime factorization of 1434 in exponential form is:
1434 = 21×31×2391
∴ So by taking common prime factors GCF of 1432 and 1434 is 2
Factors of 1432
List of positive integer factors of 1432 that divides 1432 without a remainder.
1,2,4,8,179,358,716,1432
Factors of 1434
List of positive integer factors of 1434 that divides 1434 without a remainder.
1,2,3,6,239,478,717,1434
Greatest Common Factor
We found the factors and prime factorization of 1432 and 1434. The biggest common factor number is the GCF number.
So the greatest common factor 1432 and 1434 is 2.
Also check out the Least Common Multiple of 1432 and 1434
(i) The GCF of 1432 and 1434 is associative
GCF of 1432 and 1434 = GCF of 1434 and 1432
1. What is the GCF of 1432 and 1434?
Answer: GCF of 1432 and 1434 is 2.
2. What are the Factors of 1432?
Answer: Factors of 1432 are 1, 2, 4, 8, 179, 358, 716, 1432. There are 8 integers that are factors of 1432. The greatest factor of 1432 is 1432.
3. What are the Factors of 1434?
Answer: Factors of 1434 are 1, 2, 3, 6, 239, 478, 717, 1434. There are 8 integers that are factors of 1434. The greatest factor of 1434 is 1434.
4. How to Find the GCF of 1432 and 1434?
Answer:
Greatest Common Factor of 1432 and 1434 = 2
Step 1: Find the prime factorization of 1432
1432 = 2 x 2 x 2 x 179
Step 2: Find the prime factorization of 1434
1434 = 2 x 3 x 239
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 1432 and 1434 is 2