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 7566, 7572 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7566 and 7572 is 6.
GCF(7566,7572) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7566
2 | 7566 |
3 | 3783 |
13 | 1261 |
97 | 97 |
1 |
Prime factors of 7566 are 2,3,13,97. Prime factorization of 7566 in exponential form is:
7566 = 21×31×131×971
Prime Factorization of 7572
2 | 7572 |
2 | 3786 |
3 | 1893 |
631 | 631 |
1 |
Prime factors of 7572 are 2,3,631. Prime factorization of 7572 in exponential form is:
7572 = 22×31×6311
∴ So by taking common prime factors GCF of 7566 and 7572 is 6
Factors of 7566
List of positive integer factors of 7566 that divides 7566 without a remainder.
1,2,3,6,13,26,39,78,97,194,291,582,1261,2522,3783,7566
Factors of 7572
List of positive integer factors of 7572 that divides 7572 without a remainder.
1,2,3,4,6,12,631,1262,1893,2524,3786,7572
Greatest Common Factor
We found the factors and prime factorization of 7566 and 7572. The biggest common factor number is the GCF number.
So the greatest common factor 7566 and 7572 is 6.
Also check out the Least Common Multiple of 7566 and 7572
(i) The GCF of 7566 and 7572 is associative
GCF of 7566 and 7572 = GCF of 7572 and 7566
1. What is the GCF of 7566 and 7572?
Answer: GCF of 7566 and 7572 is 6.
2. What are the Factors of 7566?
Answer: Factors of 7566 are 1, 2, 3, 6, 13, 26, 39, 78, 97, 194, 291, 582, 1261, 2522, 3783, 7566. There are 16 integers that are factors of 7566. The greatest factor of 7566 is 7566.
3. What are the Factors of 7572?
Answer: Factors of 7572 are 1, 2, 3, 4, 6, 12, 631, 1262, 1893, 2524, 3786, 7572. There are 12 integers that are factors of 7572. The greatest factor of 7572 is 7572.
4. How to Find the GCF of 7566 and 7572?
Answer:
Greatest Common Factor of 7566 and 7572 = 6
Step 1: Find the prime factorization of 7566
7566 = 2 x 3 x 13 x 97
Step 2: Find the prime factorization of 7572
7572 = 2 x 2 x 3 x 631
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 7566 and 7572 is 6