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 5461, 5469 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5461 and 5469 is 1.
GCF(5461,5469) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5461
43 | 5461 |
127 | 127 |
1 |
Prime factors of 5461 are 43,127. Prime factorization of 5461 in exponential form is:
5461 = 431×1271
Prime Factorization of 5469
3 | 5469 |
1823 | 1823 |
1 |
Prime factors of 5469 are 3,1823. Prime factorization of 5469 in exponential form is:
5469 = 31×18231
∴ So by taking common prime factors GCF of 5461 and 5469 is 1
Factors of 5461
List of positive integer factors of 5461 that divides 5461 without a remainder.
1,43,127,5461
Factors of 5469
List of positive integer factors of 5469 that divides 5469 without a remainder.
1,3,1823,5469
Greatest Common Factor
We found the factors and prime factorization of 5461 and 5469. The biggest common factor number is the GCF number.
So the greatest common factor 5461 and 5469 is 1.
Also check out the Least Common Multiple of 5461 and 5469
(i) The GCF of 5461 and 5469 is associative
GCF of 5461 and 5469 = GCF of 5469 and 5461
1. What is the GCF of 5461 and 5469?
Answer: GCF of 5461 and 5469 is 1.
2. What are the Factors of 5461?
Answer: Factors of 5461 are 1, 43, 127, 5461. There are 4 integers that are factors of 5461. The greatest factor of 5461 is 5461.
3. What are the Factors of 5469?
Answer: Factors of 5469 are 1, 3, 1823, 5469. There are 4 integers that are factors of 5469. The greatest factor of 5469 is 5469.
4. How to Find the GCF of 5461 and 5469?
Answer:
Greatest Common Factor of 5461 and 5469 = 1
Step 1: Find the prime factorization of 5461
5461 = 43 x 127
Step 2: Find the prime factorization of 5469
5469 = 3 x 1823
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 5461 and 5469 is 1