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 1048, 1054 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1048 and 1054 is 2.
GCF(1048,1054) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1048
2 | 1048 |
2 | 524 |
2 | 262 |
131 | 131 |
1 |
Prime factors of 1048 are 2,131. Prime factorization of 1048 in exponential form is:
1048 = 23×1311
Prime Factorization of 1054
2 | 1054 |
17 | 527 |
31 | 31 |
1 |
Prime factors of 1054 are 2,17,31. Prime factorization of 1054 in exponential form is:
1054 = 21×171×311
∴ So by taking common prime factors GCF of 1048 and 1054 is 2
Factors of 1048
List of positive integer factors of 1048 that divides 1048 without a remainder.
1,2,4,8,131,262,524,1048
Factors of 1054
List of positive integer factors of 1054 that divides 1054 without a remainder.
1,2,17,31,34,62,527,1054
Greatest Common Factor
We found the factors and prime factorization of 1048 and 1054. The biggest common factor number is the GCF number.
So the greatest common factor 1048 and 1054 is 2.
Also check out the Least Common Multiple of 1048 and 1054
(i) The GCF of 1048 and 1054 is associative
GCF of 1048 and 1054 = GCF of 1054 and 1048
1. What is the GCF of 1048 and 1054?
Answer: GCF of 1048 and 1054 is 2.
2. What are the Factors of 1048?
Answer: Factors of 1048 are 1, 2, 4, 8, 131, 262, 524, 1048. There are 8 integers that are factors of 1048. The greatest factor of 1048 is 1048.
3. What are the Factors of 1054?
Answer: Factors of 1054 are 1, 2, 17, 31, 34, 62, 527, 1054. There are 8 integers that are factors of 1054. The greatest factor of 1054 is 1054.
4. How to Find the GCF of 1048 and 1054?
Answer:
Greatest Common Factor of 1048 and 1054 = 2
Step 1: Find the prime factorization of 1048
1048 = 2 x 2 x 2 x 131
Step 2: Find the prime factorization of 1054
1054 = 2 x 17 x 31
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 1048 and 1054 is 2