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 5052, 5056 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5052 and 5056 is 4.
GCF(5052,5056) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5052
2 | 5052 |
2 | 2526 |
3 | 1263 |
421 | 421 |
1 |
Prime factors of 5052 are 2,3,421. Prime factorization of 5052 in exponential form is:
5052 = 22×31×4211
Prime Factorization of 5056
2 | 5056 |
2 | 2528 |
2 | 1264 |
2 | 632 |
2 | 316 |
2 | 158 |
79 | 79 |
1 |
Prime factors of 5056 are 2,79. Prime factorization of 5056 in exponential form is:
5056 = 26×791
∴ So by taking common prime factors GCF of 5052 and 5056 is 4
Factors of 5052
List of positive integer factors of 5052 that divides 5052 without a remainder.
1,2,3,4,6,12,421,842,1263,1684,2526,5052
Factors of 5056
List of positive integer factors of 5056 that divides 5056 without a remainder.
1,2,4,8,16,32,64,79,158,316,632,1264,2528,5056
Greatest Common Factor
We found the factors and prime factorization of 5052 and 5056. The biggest common factor number is the GCF number.
So the greatest common factor 5052 and 5056 is 4.
Also check out the Least Common Multiple of 5052 and 5056
(i) The GCF of 5052 and 5056 is associative
GCF of 5052 and 5056 = GCF of 5056 and 5052
1. What is the GCF of 5052 and 5056?
Answer: GCF of 5052 and 5056 is 4.
2. What are the Factors of 5052?
Answer: Factors of 5052 are 1, 2, 3, 4, 6, 12, 421, 842, 1263, 1684, 2526, 5052. There are 12 integers that are factors of 5052. The greatest factor of 5052 is 5052.
3. What are the Factors of 5056?
Answer: Factors of 5056 are 1, 2, 4, 8, 16, 32, 64, 79, 158, 316, 632, 1264, 2528, 5056. There are 14 integers that are factors of 5056. The greatest factor of 5056 is 5056.
4. How to Find the GCF of 5052 and 5056?
Answer:
Greatest Common Factor of 5052 and 5056 = 4
Step 1: Find the prime factorization of 5052
5052 = 2 x 2 x 3 x 421
Step 2: Find the prime factorization of 5056
5056 = 2 x 2 x 2 x 2 x 2 x 2 x 79
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 5052 and 5056 is 4