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, 4156 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4152 and 4156 is 4.
GCF(4152,4156) = 4
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 4156
2 | 4156 |
2 | 2078 |
1039 | 1039 |
1 |
Prime factors of 4156 are 2,1039. Prime factorization of 4156 in exponential form is:
4156 = 22×10391
∴ So by taking common prime factors GCF of 4152 and 4156 is 4
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 4156
List of positive integer factors of 4156 that divides 4156 without a remainder.
1,2,4,1039,2078,4156
Greatest Common Factor
We found the factors and prime factorization of 4152 and 4156. The biggest common factor number is the GCF number.
So the greatest common factor 4152 and 4156 is 4.
Also check out the Least Common Multiple of 4152 and 4156
(i) The GCF of 4152 and 4156 is associative
GCF of 4152 and 4156 = GCF of 4156 and 4152
1. What is the GCF of 4152 and 4156?
Answer: GCF of 4152 and 4156 is 4.
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 4156?
Answer: Factors of 4156 are 1, 2, 4, 1039, 2078, 4156. There are 6 integers that are factors of 4156. The greatest factor of 4156 is 4156.
4. How to Find the GCF of 4152 and 4156?
Answer:
Greatest Common Factor of 4152 and 4156 = 4
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 4156
4156 = 2 x 2 x 1039
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 4152 and 4156 is 4