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 4068, 4076 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4068 and 4076 is 4.
GCF(4068,4076) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4068
2 | 4068 |
2 | 2034 |
3 | 1017 |
3 | 339 |
113 | 113 |
1 |
Prime factors of 4068 are 2,3,113. Prime factorization of 4068 in exponential form is:
4068 = 22×32×1131
Prime Factorization of 4076
2 | 4076 |
2 | 2038 |
1019 | 1019 |
1 |
Prime factors of 4076 are 2,1019. Prime factorization of 4076 in exponential form is:
4076 = 22×10191
∴ So by taking common prime factors GCF of 4068 and 4076 is 4
Factors of 4068
List of positive integer factors of 4068 that divides 4068 without a remainder.
1,2,3,4,6,9,12,18,36,113,226,339,452,678,1017,1356,2034,4068
Factors of 4076
List of positive integer factors of 4076 that divides 4076 without a remainder.
1,2,4,1019,2038,4076
Greatest Common Factor
We found the factors and prime factorization of 4068 and 4076. The biggest common factor number is the GCF number.
So the greatest common factor 4068 and 4076 is 4.
Also check out the Least Common Multiple of 4068 and 4076
(i) The GCF of 4068 and 4076 is associative
GCF of 4068 and 4076 = GCF of 4076 and 4068
1. What is the GCF of 4068 and 4076?
Answer: GCF of 4068 and 4076 is 4.
2. What are the Factors of 4068?
Answer: Factors of 4068 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 113, 226, 339, 452, 678, 1017, 1356, 2034, 4068. There are 18 integers that are factors of 4068. The greatest factor of 4068 is 4068.
3. What are the Factors of 4076?
Answer: Factors of 4076 are 1, 2, 4, 1019, 2038, 4076. There are 6 integers that are factors of 4076. The greatest factor of 4076 is 4076.
4. How to Find the GCF of 4068 and 4076?
Answer:
Greatest Common Factor of 4068 and 4076 = 4
Step 1: Find the prime factorization of 4068
4068 = 2 x 2 x 3 x 3 x 113
Step 2: Find the prime factorization of 4076
4076 = 2 x 2 x 1019
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 4068 and 4076 is 4