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 5429, 5435 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5429 and 5435 is 1.
GCF(5429,5435) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5429
61 | 5429 |
89 | 89 |
1 |
Prime factors of 5429 are 61,89. Prime factorization of 5429 in exponential form is:
5429 = 611×891
Prime Factorization of 5435
5 | 5435 |
1087 | 1087 |
1 |
Prime factors of 5435 are 5,1087. Prime factorization of 5435 in exponential form is:
5435 = 51×10871
∴ So by taking common prime factors GCF of 5429 and 5435 is 1
Factors of 5429
List of positive integer factors of 5429 that divides 5429 without a remainder.
1,61,89,5429
Factors of 5435
List of positive integer factors of 5435 that divides 5435 without a remainder.
1,5,1087,5435
Greatest Common Factor
We found the factors and prime factorization of 5429 and 5435. The biggest common factor number is the GCF number.
So the greatest common factor 5429 and 5435 is 1.
Also check out the Least Common Multiple of 5429 and 5435
(i) The GCF of 5429 and 5435 is associative
GCF of 5429 and 5435 = GCF of 5435 and 5429
1. What is the GCF of 5429 and 5435?
Answer: GCF of 5429 and 5435 is 1.
2. What are the Factors of 5429?
Answer: Factors of 5429 are 1, 61, 89, 5429. There are 4 integers that are factors of 5429. The greatest factor of 5429 is 5429.
3. What are the Factors of 5435?
Answer: Factors of 5435 are 1, 5, 1087, 5435. There are 4 integers that are factors of 5435. The greatest factor of 5435 is 5435.
4. How to Find the GCF of 5429 and 5435?
Answer:
Greatest Common Factor of 5429 and 5435 = 1
Step 1: Find the prime factorization of 5429
5429 = 61 x 89
Step 2: Find the prime factorization of 5435
5435 = 5 x 1087
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 5429 and 5435 is 1