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 4408, 4409 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4408 and 4409 is 1.
GCF(4408,4409) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4408
2 | 4408 |
2 | 2204 |
2 | 1102 |
19 | 551 |
29 | 29 |
1 |
Prime factors of 4408 are 2,19,29. Prime factorization of 4408 in exponential form is:
4408 = 23×191×291
Prime Factorization of 4409
4409 | 4409 |
1 |
Prime factors of 4409 are 4409. Prime factorization of 4409 in exponential form is:
4409 = 44091
∴ So by taking common prime factors GCF of 4408 and 4409 is 1
Factors of 4408
List of positive integer factors of 4408 that divides 4408 without a remainder.
1,2,4,8,19,29,38,58,76,116,152,232,551,1102,2204,4408
Factors of 4409
List of positive integer factors of 4409 that divides 4409 without a remainder.
1,4409
Greatest Common Factor
We found the factors and prime factorization of 4408 and 4409. The biggest common factor number is the GCF number.
So the greatest common factor 4408 and 4409 is 1.
Also check out the Least Common Multiple of 4408 and 4409
(i) The GCF of 4408 and 4409 is associative
GCF of 4408 and 4409 = GCF of 4409 and 4408
1. What is the GCF of 4408 and 4409?
Answer: GCF of 4408 and 4409 is 1.
2. What are the Factors of 4408?
Answer: Factors of 4408 are 1, 2, 4, 8, 19, 29, 38, 58, 76, 116, 152, 232, 551, 1102, 2204, 4408. There are 16 integers that are factors of 4408. The greatest factor of 4408 is 4408.
3. What are the Factors of 4409?
Answer: Factors of 4409 are 1, 4409. There are 2 integers that are factors of 4409. The greatest factor of 4409 is 4409.
4. How to Find the GCF of 4408 and 4409?
Answer:
Greatest Common Factor of 4408 and 4409 = 1
Step 1: Find the prime factorization of 4408
4408 = 2 x 2 x 2 x 19 x 29
Step 2: Find the prime factorization of 4409
4409 = 4409
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 4408 and 4409 is 1