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 7048, 7053 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7048 and 7053 is 1.
GCF(7048,7053) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 7053
3 | 7053 |
2351 | 2351 |
1 |
Prime factors of 7053 are 3,2351. Prime factorization of 7053 in exponential form is:
7053 = 31×23511
∴ So by taking common prime factors GCF of 7048 and 7053 is 1
Factors of 7048
List of positive integer factors of 7048 that divides 7048 without a remainder.
1,2,4,8,881,1762,3524,7048
Factors of 7053
List of positive integer factors of 7053 that divides 7053 without a remainder.
1,3,2351,7053
Greatest Common Factor
We found the factors and prime factorization of 7048 and 7053. The biggest common factor number is the GCF number.
So the greatest common factor 7048 and 7053 is 1.
Also check out the Least Common Multiple of 7048 and 7053
(i) The GCF of 7048 and 7053 is associative
GCF of 7048 and 7053 = GCF of 7053 and 7048
1. What is the GCF of 7048 and 7053?
Answer: GCF of 7048 and 7053 is 1.
2. 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.
3. What are the Factors of 7053?
Answer: Factors of 7053 are 1, 3, 2351, 7053. There are 4 integers that are factors of 7053. The greatest factor of 7053 is 7053.
4. How to Find the GCF of 7048 and 7053?
Answer:
Greatest Common Factor of 7048 and 7053 = 1
Step 1: Find the prime factorization of 7048
7048 = 2 x 2 x 2 x 881
Step 2: Find the prime factorization of 7053
7053 = 3 x 2351
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 7048 and 7053 is 1