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 7044, 7048 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7044 and 7048 is 4.
GCF(7044,7048) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7044
2 | 7044 |
2 | 3522 |
3 | 1761 |
587 | 587 |
1 |
Prime factors of 7044 are 2,3,587. Prime factorization of 7044 in exponential form is:
7044 = 22×31×5871
Prime Factorization of 7048
2 | 7048 |
2 | 3524 |
2 | 1762 |
881 | 881 |
1 |
Prime factors of 7048 are 2,881. Prime factorization of 7048 in exponential form is:
7048 = 23×8811
∴ So by taking common prime factors GCF of 7044 and 7048 is 4
Factors of 7044
List of positive integer factors of 7044 that divides 7044 without a remainder.
1,2,3,4,6,12,587,1174,1761,2348,3522,7044
Factors of 7048
List of positive integer factors of 7048 that divides 7048 without a remainder.
1,2,4,8,881,1762,3524,7048
Greatest Common Factor
We found the factors and prime factorization of 7044 and 7048. The biggest common factor number is the GCF number.
So the greatest common factor 7044 and 7048 is 4.
Also check out the Least Common Multiple of 7044 and 7048
(i) The GCF of 7044 and 7048 is associative
GCF of 7044 and 7048 = GCF of 7048 and 7044
1. What is the GCF of 7044 and 7048?
Answer: GCF of 7044 and 7048 is 4.
2. What are the Factors of 7044?
Answer: Factors of 7044 are 1, 2, 3, 4, 6, 12, 587, 1174, 1761, 2348, 3522, 7044. There are 12 integers that are factors of 7044. The greatest factor of 7044 is 7044.
3. What are the Factors of 7048?
Answer: Factors of 7048 are 1, 2, 4, 8, 881, 1762, 3524, 7048. There are 8 integers that are factors of 7048. The greatest factor of 7048 is 7048.
4. How to Find the GCF of 7044 and 7048?
Answer:
Greatest Common Factor of 7044 and 7048 = 4
Step 1: Find the prime factorization of 7044
7044 = 2 x 2 x 3 x 587
Step 2: Find the prime factorization of 7048
7048 = 2 x 2 x 2 x 881
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 7044 and 7048 is 4