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 7624, 7632 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7624 and 7632 is 8.
GCF(7624,7632) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7624
2 | 7624 |
2 | 3812 |
2 | 1906 |
953 | 953 |
1 |
Prime factors of 7624 are 2,953. Prime factorization of 7624 in exponential form is:
7624 = 23×9531
Prime Factorization of 7632
2 | 7632 |
2 | 3816 |
2 | 1908 |
2 | 954 |
3 | 477 |
3 | 159 |
53 | 53 |
1 |
Prime factors of 7632 are 2,3,53. Prime factorization of 7632 in exponential form is:
7632 = 24×32×531
∴ So by taking common prime factors GCF of 7624 and 7632 is 8
Factors of 7624
List of positive integer factors of 7624 that divides 7624 without a remainder.
1,2,4,8,953,1906,3812,7624
Factors of 7632
List of positive integer factors of 7632 that divides 7632 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,36,48,53,72,106,144,159,212,318,424,477,636,848,954,1272,1908,2544,3816,7632
Greatest Common Factor
We found the factors and prime factorization of 7624 and 7632. The biggest common factor number is the GCF number.
So the greatest common factor 7624 and 7632 is 8.
Also check out the Least Common Multiple of 7624 and 7632
(i) The GCF of 7624 and 7632 is associative
GCF of 7624 and 7632 = GCF of 7632 and 7624
1. What is the GCF of 7624 and 7632?
Answer: GCF of 7624 and 7632 is 8.
2. What are the Factors of 7624?
Answer: Factors of 7624 are 1, 2, 4, 8, 953, 1906, 3812, 7624. There are 8 integers that are factors of 7624. The greatest factor of 7624 is 7624.
3. What are the Factors of 7632?
Answer: Factors of 7632 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 53, 72, 106, 144, 159, 212, 318, 424, 477, 636, 848, 954, 1272, 1908, 2544, 3816, 7632. There are 30 integers that are factors of 7632. The greatest factor of 7632 is 7632.
4. How to Find the GCF of 7624 and 7632?
Answer:
Greatest Common Factor of 7624 and 7632 = 8
Step 1: Find the prime factorization of 7624
7624 = 2 x 2 x 2 x 953
Step 2: Find the prime factorization of 7632
7632 = 2 x 2 x 2 x 2 x 3 x 3 x 53
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 x 2 = 8
Step 4: Therefore, the greatest common factor of 7624 and 7632 is 8