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 5425, 5430 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5425 and 5430 is 5.
GCF(5425,5430) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5425
5 | 5425 |
5 | 1085 |
7 | 217 |
31 | 31 |
1 |
Prime factors of 5425 are 5,7,31. Prime factorization of 5425 in exponential form is:
5425 = 52×71×311
Prime Factorization of 5430
2 | 5430 |
3 | 2715 |
5 | 905 |
181 | 181 |
1 |
Prime factors of 5430 are 2,3,5,181. Prime factorization of 5430 in exponential form is:
5430 = 21×31×51×1811
∴ So by taking common prime factors GCF of 5425 and 5430 is 5
Factors of 5425
List of positive integer factors of 5425 that divides 5425 without a remainder.
1,5,7,25,31,35,155,175,217,775,1085,5425
Factors of 5430
List of positive integer factors of 5430 that divides 5430 without a remainder.
1,2,3,5,6,10,15,30,181,362,543,905,1086,1810,2715,5430
Greatest Common Factor
We found the factors and prime factorization of 5425 and 5430. The biggest common factor number is the GCF number.
So the greatest common factor 5425 and 5430 is 5.
Also check out the Least Common Multiple of 5425 and 5430
(i) The GCF of 5425 and 5430 is associative
GCF of 5425 and 5430 = GCF of 5430 and 5425
1. What is the GCF of 5425 and 5430?
Answer: GCF of 5425 and 5430 is 5.
2. What are the Factors of 5425?
Answer: Factors of 5425 are 1, 5, 7, 25, 31, 35, 155, 175, 217, 775, 1085, 5425. There are 12 integers that are factors of 5425. The greatest factor of 5425 is 5425.
3. What are the Factors of 5430?
Answer: Factors of 5430 are 1, 2, 3, 5, 6, 10, 15, 30, 181, 362, 543, 905, 1086, 1810, 2715, 5430. There are 16 integers that are factors of 5430. The greatest factor of 5430 is 5430.
4. How to Find the GCF of 5425 and 5430?
Answer:
Greatest Common Factor of 5425 and 5430 = 5
Step 1: Find the prime factorization of 5425
5425 = 5 x 5 x 7 x 31
Step 2: Find the prime factorization of 5430
5430 = 2 x 3 x 5 x 181
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 5425 and 5430 is 5