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 5048, 5052 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5048 and 5052 is 4.
GCF(5048,5052) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5048
2 | 5048 |
2 | 2524 |
2 | 1262 |
631 | 631 |
1 |
Prime factors of 5048 are 2,631. Prime factorization of 5048 in exponential form is:
5048 = 23×6311
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
∴ So by taking common prime factors GCF of 5048 and 5052 is 4
Factors of 5048
List of positive integer factors of 5048 that divides 5048 without a remainder.
1,2,4,8,631,1262,2524,5048
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
Greatest Common Factor
We found the factors and prime factorization of 5048 and 5052. The biggest common factor number is the GCF number.
So the greatest common factor 5048 and 5052 is 4.
Also check out the Least Common Multiple of 5048 and 5052
(i) The GCF of 5048 and 5052 is associative
GCF of 5048 and 5052 = GCF of 5052 and 5048
1. What is the GCF of 5048 and 5052?
Answer: GCF of 5048 and 5052 is 4.
2. What are the Factors of 5048?
Answer: Factors of 5048 are 1, 2, 4, 8, 631, 1262, 2524, 5048. There are 8 integers that are factors of 5048. The greatest factor of 5048 is 5048.
3. 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.
4. How to Find the GCF of 5048 and 5052?
Answer:
Greatest Common Factor of 5048 and 5052 = 4
Step 1: Find the prime factorization of 5048
5048 = 2 x 2 x 2 x 631
Step 2: Find the prime factorization of 5052
5052 = 2 x 2 x 3 x 421
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 5048 and 5052 is 4