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 5076, 5084 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5076 and 5084 is 4.
GCF(5076,5084) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5076
2 | 5076 |
2 | 2538 |
3 | 1269 |
3 | 423 |
3 | 141 |
47 | 47 |
1 |
Prime factors of 5076 are 2,3,47. Prime factorization of 5076 in exponential form is:
5076 = 22×33×471
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
∴ So by taking common prime factors GCF of 5076 and 5084 is 4
Factors of 5076
List of positive integer factors of 5076 that divides 5076 without a remainder.
1,2,3,4,6,9,12,18,27,36,47,54,94,108,141,188,282,423,564,846,1269,1692,2538,5076
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
Greatest Common Factor
We found the factors and prime factorization of 5076 and 5084. The biggest common factor number is the GCF number.
So the greatest common factor 5076 and 5084 is 4.
Also check out the Least Common Multiple of 5076 and 5084
(i) The GCF of 5076 and 5084 is associative
GCF of 5076 and 5084 = GCF of 5084 and 5076
1. What is the GCF of 5076 and 5084?
Answer: GCF of 5076 and 5084 is 4.
2. What are the Factors of 5076?
Answer: Factors of 5076 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 47, 54, 94, 108, 141, 188, 282, 423, 564, 846, 1269, 1692, 2538, 5076. There are 24 integers that are factors of 5076. The greatest factor of 5076 is 5076.
3. 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.
4. How to Find the GCF of 5076 and 5084?
Answer:
Greatest Common Factor of 5076 and 5084 = 4
Step 1: Find the prime factorization of 5076
5076 = 2 x 2 x 3 x 3 x 3 x 47
Step 2: Find the prime factorization of 5084
5084 = 2 x 2 x 31 x 41
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 5076 and 5084 is 4