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 5084, 5088 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5084 and 5088 is 4.
GCF(5084,5088) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5084
2 | 5084 |
2 | 2542 |
31 | 1271 |
41 | 41 |
1 |
Prime factors of 5084 are 2,31,41. Prime factorization of 5084 in exponential form is:
5084 = 22×311×411
Prime Factorization of 5088
2 | 5088 |
2 | 2544 |
2 | 1272 |
2 | 636 |
2 | 318 |
3 | 159 |
53 | 53 |
1 |
Prime factors of 5088 are 2,3,53. Prime factorization of 5088 in exponential form is:
5088 = 25×31×531
∴ So by taking common prime factors GCF of 5084 and 5088 is 4
Factors of 5084
List of positive integer factors of 5084 that divides 5084 without a remainder.
1,2,4,31,41,62,82,124,164,1271,2542,5084
Factors of 5088
List of positive integer factors of 5088 that divides 5088 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,53,96,106,159,212,318,424,636,848,1272,1696,2544,5088
Greatest Common Factor
We found the factors and prime factorization of 5084 and 5088. The biggest common factor number is the GCF number.
So the greatest common factor 5084 and 5088 is 4.
Also check out the Least Common Multiple of 5084 and 5088
(i) The GCF of 5084 and 5088 is associative
GCF of 5084 and 5088 = GCF of 5088 and 5084
1. What is the GCF of 5084 and 5088?
Answer: GCF of 5084 and 5088 is 4.
2. What are the Factors of 5084?
Answer: Factors of 5084 are 1, 2, 4, 31, 41, 62, 82, 124, 164, 1271, 2542, 5084. There are 12 integers that are factors of 5084. The greatest factor of 5084 is 5084.
3. What are the Factors of 5088?
Answer: Factors of 5088 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 53, 96, 106, 159, 212, 318, 424, 636, 848, 1272, 1696, 2544, 5088. There are 24 integers that are factors of 5088. The greatest factor of 5088 is 5088.
4. How to Find the GCF of 5084 and 5088?
Answer:
Greatest Common Factor of 5084 and 5088 = 4
Step 1: Find the prime factorization of 5084
5084 = 2 x 2 x 31 x 41
Step 2: Find the prime factorization of 5088
5088 = 2 x 2 x 2 x 2 x 2 x 3 x 53
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 5084 and 5088 is 4