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 5377, 5384 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5377 and 5384 is 1.
GCF(5377,5384) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5377
19 | 5377 |
283 | 283 |
1 |
Prime factors of 5377 are 19,283. Prime factorization of 5377 in exponential form is:
5377 = 191×2831
Prime Factorization of 5384
2 | 5384 |
2 | 2692 |
2 | 1346 |
673 | 673 |
1 |
Prime factors of 5384 are 2,673. Prime factorization of 5384 in exponential form is:
5384 = 23×6731
∴ So by taking common prime factors GCF of 5377 and 5384 is 1
Factors of 5377
List of positive integer factors of 5377 that divides 5377 without a remainder.
1,19,283,5377
Factors of 5384
List of positive integer factors of 5384 that divides 5384 without a remainder.
1,2,4,8,673,1346,2692,5384
Greatest Common Factor
We found the factors and prime factorization of 5377 and 5384. The biggest common factor number is the GCF number.
So the greatest common factor 5377 and 5384 is 1.
Also check out the Least Common Multiple of 5377 and 5384
(i) The GCF of 5377 and 5384 is associative
GCF of 5377 and 5384 = GCF of 5384 and 5377
1. What is the GCF of 5377 and 5384?
Answer: GCF of 5377 and 5384 is 1.
2. What are the Factors of 5377?
Answer: Factors of 5377 are 1, 19, 283, 5377. There are 4 integers that are factors of 5377. The greatest factor of 5377 is 5377.
3. What are the Factors of 5384?
Answer: Factors of 5384 are 1, 2, 4, 8, 673, 1346, 2692, 5384. There are 8 integers that are factors of 5384. The greatest factor of 5384 is 5384.
4. How to Find the GCF of 5377 and 5384?
Answer:
Greatest Common Factor of 5377 and 5384 = 1
Step 1: Find the prime factorization of 5377
5377 = 19 x 283
Step 2: Find the prime factorization of 5384
5384 = 2 x 2 x 2 x 673
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 5377 and 5384 is 1