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 6072, 6076 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6072 and 6076 is 4.
GCF(6072,6076) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6072
2 | 6072 |
2 | 3036 |
2 | 1518 |
3 | 759 |
11 | 253 |
23 | 23 |
1 |
Prime factors of 6072 are 2,3,11,23. Prime factorization of 6072 in exponential form is:
6072 = 23×31×111×231
Prime Factorization of 6076
2 | 6076 |
2 | 3038 |
7 | 1519 |
7 | 217 |
31 | 31 |
1 |
Prime factors of 6076 are 2,7,31. Prime factorization of 6076 in exponential form is:
6076 = 22×72×311
∴ So by taking common prime factors GCF of 6072 and 6076 is 4
Factors of 6072
List of positive integer factors of 6072 that divides 6072 without a remainder.
1,2,3,4,6,8,11,12,22,23,24,33,44,46,66,69,88,92,132,138,184,253,264,276,506,552,759,1012,1518,2024,3036,6072
Factors of 6076
List of positive integer factors of 6076 that divides 6076 without a remainder.
1,2,4,7,14,28,31,49,62,98,124,196,217,434,868,1519,3038,6076
Greatest Common Factor
We found the factors and prime factorization of 6072 and 6076. The biggest common factor number is the GCF number.
So the greatest common factor 6072 and 6076 is 4.
Also check out the Least Common Multiple of 6072 and 6076
(i) The GCF of 6072 and 6076 is associative
GCF of 6072 and 6076 = GCF of 6076 and 6072
1. What is the GCF of 6072 and 6076?
Answer: GCF of 6072 and 6076 is 4.
2. What are the Factors of 6072?
Answer: Factors of 6072 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 23, 24, 33, 44, 46, 66, 69, 88, 92, 132, 138, 184, 253, 264, 276, 506, 552, 759, 1012, 1518, 2024, 3036, 6072. There are 32 integers that are factors of 6072. The greatest factor of 6072 is 6072.
3. What are the Factors of 6076?
Answer: Factors of 6076 are 1, 2, 4, 7, 14, 28, 31, 49, 62, 98, 124, 196, 217, 434, 868, 1519, 3038, 6076. There are 18 integers that are factors of 6076. The greatest factor of 6076 is 6076.
4. How to Find the GCF of 6072 and 6076?
Answer:
Greatest Common Factor of 6072 and 6076 = 4
Step 1: Find the prime factorization of 6072
6072 = 2 x 2 x 2 x 3 x 11 x 23
Step 2: Find the prime factorization of 6076
6076 = 2 x 2 x 7 x 7 x 31
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 6072 and 6076 is 4