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 4128, 4130 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4128 and 4130 is 2.
GCF(4128,4130) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4128
2 | 4128 |
2 | 2064 |
2 | 1032 |
2 | 516 |
2 | 258 |
3 | 129 |
43 | 43 |
1 |
Prime factors of 4128 are 2,3,43. Prime factorization of 4128 in exponential form is:
4128 = 25×31×431
Prime Factorization of 4130
2 | 4130 |
5 | 2065 |
7 | 413 |
59 | 59 |
1 |
Prime factors of 4130 are 2,5,7,59. Prime factorization of 4130 in exponential form is:
4130 = 21×51×71×591
∴ So by taking common prime factors GCF of 4128 and 4130 is 2
Factors of 4128
List of positive integer factors of 4128 that divides 4128 without a remainder.
1,2,3,4,6,8,12,16,24,32,43,48,86,96,129,172,258,344,516,688,1032,1376,2064,4128
Factors of 4130
List of positive integer factors of 4130 that divides 4130 without a remainder.
1,2,5,7,10,14,35,59,70,118,295,413,590,826,2065,4130
Greatest Common Factor
We found the factors and prime factorization of 4128 and 4130. The biggest common factor number is the GCF number.
So the greatest common factor 4128 and 4130 is 2.
Also check out the Least Common Multiple of 4128 and 4130
(i) The GCF of 4128 and 4130 is associative
GCF of 4128 and 4130 = GCF of 4130 and 4128
1. What is the GCF of 4128 and 4130?
Answer: GCF of 4128 and 4130 is 2.
2. What are the Factors of 4128?
Answer: Factors of 4128 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 86, 96, 129, 172, 258, 344, 516, 688, 1032, 1376, 2064, 4128. There are 24 integers that are factors of 4128. The greatest factor of 4128 is 4128.
3. What are the Factors of 4130?
Answer: Factors of 4130 are 1, 2, 5, 7, 10, 14, 35, 59, 70, 118, 295, 413, 590, 826, 2065, 4130. There are 16 integers that are factors of 4130. The greatest factor of 4130 is 4130.
4. How to Find the GCF of 4128 and 4130?
Answer:
Greatest Common Factor of 4128 and 4130 = 2
Step 1: Find the prime factorization of 4128
4128 = 2 x 2 x 2 x 2 x 2 x 3 x 43
Step 2: Find the prime factorization of 4130
4130 = 2 x 5 x 7 x 59
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 4128 and 4130 is 2