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 5075, 5080 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5075 and 5080 is 5.
GCF(5075,5080) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5075
5 | 5075 |
5 | 1015 |
7 | 203 |
29 | 29 |
1 |
Prime factors of 5075 are 5,7,29. Prime factorization of 5075 in exponential form is:
5075 = 52×71×291
Prime Factorization of 5080
2 | 5080 |
2 | 2540 |
2 | 1270 |
5 | 635 |
127 | 127 |
1 |
Prime factors of 5080 are 2,5,127. Prime factorization of 5080 in exponential form is:
5080 = 23×51×1271
∴ So by taking common prime factors GCF of 5075 and 5080 is 5
Factors of 5075
List of positive integer factors of 5075 that divides 5075 without a remainder.
1,5,7,25,29,35,145,175,203,725,1015,5075
Factors of 5080
List of positive integer factors of 5080 that divides 5080 without a remainder.
1,2,4,5,8,10,20,40,127,254,508,635,1016,1270,2540,5080
Greatest Common Factor
We found the factors and prime factorization of 5075 and 5080. The biggest common factor number is the GCF number.
So the greatest common factor 5075 and 5080 is 5.
Also check out the Least Common Multiple of 5075 and 5080
(i) The GCF of 5075 and 5080 is associative
GCF of 5075 and 5080 = GCF of 5080 and 5075
1. What is the GCF of 5075 and 5080?
Answer: GCF of 5075 and 5080 is 5.
2. What are the Factors of 5075?
Answer: Factors of 5075 are 1, 5, 7, 25, 29, 35, 145, 175, 203, 725, 1015, 5075. There are 12 integers that are factors of 5075. The greatest factor of 5075 is 5075.
3. What are the Factors of 5080?
Answer: Factors of 5080 are 1, 2, 4, 5, 8, 10, 20, 40, 127, 254, 508, 635, 1016, 1270, 2540, 5080. There are 16 integers that are factors of 5080. The greatest factor of 5080 is 5080.
4. How to Find the GCF of 5075 and 5080?
Answer:
Greatest Common Factor of 5075 and 5080 = 5
Step 1: Find the prime factorization of 5075
5075 = 5 x 5 x 7 x 29
Step 2: Find the prime factorization of 5080
5080 = 2 x 2 x 2 x 5 x 127
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 5075 and 5080 is 5