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 1046, 1050 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1046 and 1050 is 2.
GCF(1046,1050) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1046
2 | 1046 |
523 | 523 |
1 |
Prime factors of 1046 are 2,523. Prime factorization of 1046 in exponential form is:
1046 = 21×5231
Prime Factorization of 1050
2 | 1050 |
3 | 525 |
5 | 175 |
5 | 35 |
7 | 7 |
1 |
Prime factors of 1050 are 2,3,5,7. Prime factorization of 1050 in exponential form is:
1050 = 21×31×52×71
∴ So by taking common prime factors GCF of 1046 and 1050 is 2
Factors of 1046
List of positive integer factors of 1046 that divides 1046 without a remainder.
1,2,523,1046
Factors of 1050
List of positive integer factors of 1050 that divides 1050 without a remainder.
1,2,3,5,6,7,10,14,15,21,25,30,35,42,50,70,75,105,150,175,210,350,525,1050
Greatest Common Factor
We found the factors and prime factorization of 1046 and 1050. The biggest common factor number is the GCF number.
So the greatest common factor 1046 and 1050 is 2.
Also check out the Least Common Multiple of 1046 and 1050
(i) The GCF of 1046 and 1050 is associative
GCF of 1046 and 1050 = GCF of 1050 and 1046
1. What is the GCF of 1046 and 1050?
Answer: GCF of 1046 and 1050 is 2.
2. What are the Factors of 1046?
Answer: Factors of 1046 are 1, 2, 523, 1046. There are 4 integers that are factors of 1046. The greatest factor of 1046 is 1046.
3. What are the Factors of 1050?
Answer: Factors of 1050 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 150, 175, 210, 350, 525, 1050. There are 24 integers that are factors of 1050. The greatest factor of 1050 is 1050.
4. How to Find the GCF of 1046 and 1050?
Answer:
Greatest Common Factor of 1046 and 1050 = 2
Step 1: Find the prime factorization of 1046
1046 = 2 x 523
Step 2: Find the prime factorization of 1050
1050 = 2 x 3 x 5 x 5 x 7
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 1046 and 1050 is 2