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 4152, 4160 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4152 and 4160 is 8.
GCF(4152,4160) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4152
2 | 4152 |
2 | 2076 |
2 | 1038 |
3 | 519 |
173 | 173 |
1 |
Prime factors of 4152 are 2,3,173. Prime factorization of 4152 in exponential form is:
4152 = 23×31×1731
Prime Factorization of 4160
2 | 4160 |
2 | 2080 |
2 | 1040 |
2 | 520 |
2 | 260 |
2 | 130 |
5 | 65 |
13 | 13 |
1 |
Prime factors of 4160 are 2,5,13. Prime factorization of 4160 in exponential form is:
4160 = 26×51×131
∴ So by taking common prime factors GCF of 4152 and 4160 is 8
Factors of 4152
List of positive integer factors of 4152 that divides 4152 without a remainder.
1,2,3,4,6,8,12,24,173,346,519,692,1038,1384,2076,4152
Factors of 4160
List of positive integer factors of 4160 that divides 4160 without a remainder.
1,2,4,5,8,10,13,16,20,26,32,40,52,64,65,80,104,130,160,208,260,320,416,520,832,1040,2080,4160
Greatest Common Factor
We found the factors and prime factorization of 4152 and 4160. The biggest common factor number is the GCF number.
So the greatest common factor 4152 and 4160 is 8.
Also check out the Least Common Multiple of 4152 and 4160
(i) The GCF of 4152 and 4160 is associative
GCF of 4152 and 4160 = GCF of 4160 and 4152
1. What is the GCF of 4152 and 4160?
Answer: GCF of 4152 and 4160 is 8.
2. What are the Factors of 4152?
Answer: Factors of 4152 are 1, 2, 3, 4, 6, 8, 12, 24, 173, 346, 519, 692, 1038, 1384, 2076, 4152. There are 16 integers that are factors of 4152. The greatest factor of 4152 is 4152.
3. What are the Factors of 4160?
Answer: Factors of 4160 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 130, 160, 208, 260, 320, 416, 520, 832, 1040, 2080, 4160. There are 28 integers that are factors of 4160. The greatest factor of 4160 is 4160.
4. How to Find the GCF of 4152 and 4160?
Answer:
Greatest Common Factor of 4152 and 4160 = 8
Step 1: Find the prime factorization of 4152
4152 = 2 x 2 x 2 x 3 x 173
Step 2: Find the prime factorization of 4160
4160 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 13
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 x 2 = 8
Step 4: Therefore, the greatest common factor of 4152 and 4160 is 8