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 7644, 7650 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7644 and 7650 is 6.
GCF(7644,7650) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7644
2 | 7644 |
2 | 3822 |
3 | 1911 |
7 | 637 |
7 | 91 |
13 | 13 |
1 |
Prime factors of 7644 are 2,3,7,13. Prime factorization of 7644 in exponential form is:
7644 = 22×31×72×131
Prime Factorization of 7650
2 | 7650 |
3 | 3825 |
3 | 1275 |
5 | 425 |
5 | 85 |
17 | 17 |
1 |
Prime factors of 7650 are 2,3,5,17. Prime factorization of 7650 in exponential form is:
7650 = 21×32×52×171
∴ So by taking common prime factors GCF of 7644 and 7650 is 6
Factors of 7644
List of positive integer factors of 7644 that divides 7644 without a remainder.
1,2,3,4,6,7,12,13,14,21,26,28,39,42,49,52,78,84,91,98,147,156,182,196,273,294,364,546,588,637,1092,1274,1911,2548,3822,7644
Factors of 7650
List of positive integer factors of 7650 that divides 7650 without a remainder.
1,2,3,5,6,9,10,15,17,18,25,30,34,45,50,51,75,85,90,102,150,153,170,225,255,306,425,450,510,765,850,1275,1530,2550,3825,7650
Greatest Common Factor
We found the factors and prime factorization of 7644 and 7650. The biggest common factor number is the GCF number.
So the greatest common factor 7644 and 7650 is 6.
Also check out the Least Common Multiple of 7644 and 7650
(i) The GCF of 7644 and 7650 is associative
GCF of 7644 and 7650 = GCF of 7650 and 7644
1. What is the GCF of 7644 and 7650?
Answer: GCF of 7644 and 7650 is 6.
2. What are the Factors of 7644?
Answer: Factors of 7644 are 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 49, 52, 78, 84, 91, 98, 147, 156, 182, 196, 273, 294, 364, 546, 588, 637, 1092, 1274, 1911, 2548, 3822, 7644. There are 36 integers that are factors of 7644. The greatest factor of 7644 is 7644.
3. What are the Factors of 7650?
Answer: Factors of 7650 are 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 25, 30, 34, 45, 50, 51, 75, 85, 90, 102, 150, 153, 170, 225, 255, 306, 425, 450, 510, 765, 850, 1275, 1530, 2550, 3825, 7650. There are 36 integers that are factors of 7650. The greatest factor of 7650 is 7650.
4. How to Find the GCF of 7644 and 7650?
Answer:
Greatest Common Factor of 7644 and 7650 = 6
Step 1: Find the prime factorization of 7644
7644 = 2 x 2 x 3 x 7 x 7 x 13
Step 2: Find the prime factorization of 7650
7650 = 2 x 3 x 3 x 5 x 5 x 17
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 7644 and 7650 is 6