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 1429, 1432 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1429 and 1432 is 1.
GCF(1429,1432) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1429
1429 | 1429 |
1 |
Prime factors of 1429 are 1429. Prime factorization of 1429 in exponential form is:
1429 = 14291
Prime Factorization of 1432
2 | 1432 |
2 | 716 |
2 | 358 |
179 | 179 |
1 |
Prime factors of 1432 are 2.Prime factorization of 1432 in exponential form is:
1432 = 23×1791
∴ So by taking common prime factors GCF of 1429 and 1432 is 1
Factors of 1429
List of positive integer factors of 1429 that divides 1429 without a remainder.
1,1429
Factors of 1432
List of positive integer factors of 1432 that divides 1432 without a remainder.
1,2,4,8,179,358,716,1432
Greatest Common Factor
We found the factors and prime factorization of 1429 and 1432. The biggest common factor number is the GCF number.
So the greatest common factor 1429 and 1432 is 1.
Also check out the Least Common Multiple of 1429 and 1432
(i) The GCF of 1429 and 1432 is associative
GCF of 1429 and 1432 = GCF of 1432 and 1429
1. What is the GCF of 1429 and 1432?
Answer: GCF of 1429 and 1432 is 1.
2. What are the Factors of 1429?
Answer: Factors of 1429 are 1, 1429. There are 2 integers that are factors of 1429. The greatest factor of 1429 is 1429.
3. 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.
4. How to Find the GCF of 1429 and 1432?
Answer:
Greatest Common Factor of 1429 and 1432 = 1
Step 1: Find the prime factorization of 1429
1429 = 1429
Step 2: Find the prime factorization of 1432
1432 = 2 x 2 x 2 x 179
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 1429 and 1432 is 1