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 4120, 4124 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4120 and 4124 is 4.
GCF(4120,4124) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4120
2 | 4120 |
2 | 2060 |
2 | 1030 |
5 | 515 |
103 | 103 |
1 |
Prime factors of 4120 are 2,5,103. Prime factorization of 4120 in exponential form is:
4120 = 23×51×1031
Prime Factorization of 4124
2 | 4124 |
2 | 2062 |
1031 | 1031 |
1 |
Prime factors of 4124 are 2,1031. Prime factorization of 4124 in exponential form is:
4124 = 22×10311
∴ So by taking common prime factors GCF of 4120 and 4124 is 4
Factors of 4120
List of positive integer factors of 4120 that divides 4120 without a remainder.
1,2,4,5,8,10,20,40,103,206,412,515,824,1030,2060,4120
Factors of 4124
List of positive integer factors of 4124 that divides 4124 without a remainder.
1,2,4,1031,2062,4124
Greatest Common Factor
We found the factors and prime factorization of 4120 and 4124. The biggest common factor number is the GCF number.
So the greatest common factor 4120 and 4124 is 4.
Also check out the Least Common Multiple of 4120 and 4124
(i) The GCF of 4120 and 4124 is associative
GCF of 4120 and 4124 = GCF of 4124 and 4120
1. What is the GCF of 4120 and 4124?
Answer: GCF of 4120 and 4124 is 4.
2. What are the Factors of 4120?
Answer: Factors of 4120 are 1, 2, 4, 5, 8, 10, 20, 40, 103, 206, 412, 515, 824, 1030, 2060, 4120. There are 16 integers that are factors of 4120. The greatest factor of 4120 is 4120.
3. What are the Factors of 4124?
Answer: Factors of 4124 are 1, 2, 4, 1031, 2062, 4124. There are 6 integers that are factors of 4124. The greatest factor of 4124 is 4124.
4. How to Find the GCF of 4120 and 4124?
Answer:
Greatest Common Factor of 4120 and 4124 = 4
Step 1: Find the prime factorization of 4120
4120 = 2 x 2 x 2 x 5 x 103
Step 2: Find the prime factorization of 4124
4124 = 2 x 2 x 1031
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 4120 and 4124 is 4