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 5375, 5377 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5375 and 5377 is 1.
GCF(5375,5377) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5375
5 | 5375 |
5 | 1075 |
5 | 215 |
43 | 43 |
1 |
Prime factors of 5375 are 5,43. Prime factorization of 5375 in exponential form is:
5375 = 53×431
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
∴ So by taking common prime factors GCF of 5375 and 5377 is 1
Factors of 5375
List of positive integer factors of 5375 that divides 5375 without a remainder.
1,5,25,43,125,215,1075,5375
Factors of 5377
List of positive integer factors of 5377 that divides 5377 without a remainder.
1,19,283,5377
Greatest Common Factor
We found the factors and prime factorization of 5375 and 5377. The biggest common factor number is the GCF number.
So the greatest common factor 5375 and 5377 is 1.
Also check out the Least Common Multiple of 5375 and 5377
(i) The GCF of 5375 and 5377 is associative
GCF of 5375 and 5377 = GCF of 5377 and 5375
1. What is the GCF of 5375 and 5377?
Answer: GCF of 5375 and 5377 is 1.
2. What are the Factors of 5375?
Answer: Factors of 5375 are 1, 5, 25, 43, 125, 215, 1075, 5375. There are 8 integers that are factors of 5375. The greatest factor of 5375 is 5375.
3. 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.
4. How to Find the GCF of 5375 and 5377?
Answer:
Greatest Common Factor of 5375 and 5377 = 1
Step 1: Find the prime factorization of 5375
5375 = 5 x 5 x 5 x 43
Step 2: Find the prime factorization of 5377
5377 = 19 x 283
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 5375 and 5377 is 1