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 5073, 5080 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5073 and 5080 is 1.
GCF(5073,5080) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5073
3 | 5073 |
19 | 1691 |
89 | 89 |
1 |
Prime factors of 5073 are 3,19,89. Prime factorization of 5073 in exponential form is:
5073 = 31×191×891
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 5073 and 5080 is 1
Factors of 5073
List of positive integer factors of 5073 that divides 5073 without a remainder.
1,3,19,57,89,267,1691,5073
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 5073 and 5080. The biggest common factor number is the GCF number.
So the greatest common factor 5073 and 5080 is 1.
Also check out the Least Common Multiple of 5073 and 5080
(i) The GCF of 5073 and 5080 is associative
GCF of 5073 and 5080 = GCF of 5080 and 5073
1. What is the GCF of 5073 and 5080?
Answer: GCF of 5073 and 5080 is 1.
2. What are the Factors of 5073?
Answer: Factors of 5073 are 1, 3, 19, 57, 89, 267, 1691, 5073. There are 8 integers that are factors of 5073. The greatest factor of 5073 is 5073.
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 5073 and 5080?
Answer:
Greatest Common Factor of 5073 and 5080 = 1
Step 1: Find the prime factorization of 5073
5073 = 3 x 19 x 89
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 = = 1
Step 4: Therefore, the greatest common factor of 5073 and 5080 is 1