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 1424, 1429 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1424 and 1429 is 1.
GCF(1424,1429) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1424
2 | 1424 |
2 | 712 |
2 | 356 |
2 | 178 |
89 | 89 |
1 |
Prime factors of 1424 are 2,89. Prime factorization of 1424 in exponential form is:
1424 = 24×891
Prime Factorization of 1429
1429 | 1429 |
1 |
Prime factors of 1429 are 1429. Prime factorization of 1429 in exponential form is:
1429 = 14291
∴ So by taking common prime factors GCF of 1424 and 1429 is 1
Factors of 1424
List of positive integer factors of 1424 that divides 1424 without a remainder.
1,2,4,8,16,89,178,356,712,1424
Factors of 1429
List of positive integer factors of 1429 that divides 1429 without a remainder.
1,1429
Greatest Common Factor
We found the factors and prime factorization of 1424 and 1429. The biggest common factor number is the GCF number.
So the greatest common factor 1424 and 1429 is 1.
Also check out the Least Common Multiple of 1424 and 1429
(i) The GCF of 1424 and 1429 is associative
GCF of 1424 and 1429 = GCF of 1429 and 1424
1. What is the GCF of 1424 and 1429?
Answer: GCF of 1424 and 1429 is 1.
2. What are the Factors of 1424?
Answer: Factors of 1424 are 1, 2, 4, 8, 16, 89, 178, 356, 712, 1424. There are 10 integers that are factors of 1424. The greatest factor of 1424 is 1424.
3. 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.
4. How to Find the GCF of 1424 and 1429?
Answer:
Greatest Common Factor of 1424 and 1429 = 1
Step 1: Find the prime factorization of 1424
1424 = 2 x 2 x 2 x 2 x 89
Step 2: Find the prime factorization of 1429
1429 = 1429
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 1424 and 1429 is 1