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 7246, 7250 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7246 and 7250 is 2.
GCF(7246,7250) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7246
2 | 7246 |
3623 | 3623 |
1 |
Prime factors of 7246 are 2,3623. Prime factorization of 7246 in exponential form is:
7246 = 21×36231
Prime Factorization of 7250
2 | 7250 |
5 | 3625 |
5 | 725 |
5 | 145 |
29 | 29 |
1 |
Prime factors of 7250 are 2,5,29. Prime factorization of 7250 in exponential form is:
7250 = 21×53×291
∴ So by taking common prime factors GCF of 7246 and 7250 is 2
Factors of 7246
List of positive integer factors of 7246 that divides 7246 without a remainder.
1,2,3623,7246
Factors of 7250
List of positive integer factors of 7250 that divides 7250 without a remainder.
1,2,5,10,25,29,50,58,125,145,250,290,725,1450,3625,7250
Greatest Common Factor
We found the factors and prime factorization of 7246 and 7250. The biggest common factor number is the GCF number.
So the greatest common factor 7246 and 7250 is 2.
Also check out the Least Common Multiple of 7246 and 7250
(i) The GCF of 7246 and 7250 is associative
GCF of 7246 and 7250 = GCF of 7250 and 7246
1. What is the GCF of 7246 and 7250?
Answer: GCF of 7246 and 7250 is 2.
2. What are the Factors of 7246?
Answer: Factors of 7246 are 1, 2, 3623, 7246. There are 4 integers that are factors of 7246. The greatest factor of 7246 is 7246.
3. What are the Factors of 7250?
Answer: Factors of 7250 are 1, 2, 5, 10, 25, 29, 50, 58, 125, 145, 250, 290, 725, 1450, 3625, 7250. There are 16 integers that are factors of 7250. The greatest factor of 7250 is 7250.
4. How to Find the GCF of 7246 and 7250?
Answer:
Greatest Common Factor of 7246 and 7250 = 2
Step 1: Find the prime factorization of 7246
7246 = 2 x 3623
Step 2: Find the prime factorization of 7250
7250 = 2 x 5 x 5 x 5 x 29
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 7246 and 7250 is 2