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 6624, 6631 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6624 and 6631 is 1.
GCF(6624,6631) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6624
2 | 6624 |
2 | 3312 |
2 | 1656 |
2 | 828 |
2 | 414 |
3 | 207 |
3 | 69 |
23 | 23 |
1 |
Prime factors of 6624 are 2,3,23. Prime factorization of 6624 in exponential form is:
6624 = 25×32×231
Prime Factorization of 6631
19 | 6631 |
349 | 349 |
1 |
Prime factors of 6631 are 19,349. Prime factorization of 6631 in exponential form is:
6631 = 191×3491
∴ So by taking common prime factors GCF of 6624 and 6631 is 1
Factors of 6624
List of positive integer factors of 6624 that divides 6624 without a remainder.
1,2,3,4,6,8,9,12,16,18,23,24,32,36,46,48,69,72,92,96,138,144,184,207,276,288,368,414,552,736,828,1104,1656,2208,3312,6624
Factors of 6631
List of positive integer factors of 6631 that divides 6631 without a remainder.
1,19,349,6631
Greatest Common Factor
We found the factors and prime factorization of 6624 and 6631. The biggest common factor number is the GCF number.
So the greatest common factor 6624 and 6631 is 1.
Also check out the Least Common Multiple of 6624 and 6631
(i) The GCF of 6624 and 6631 is associative
GCF of 6624 and 6631 = GCF of 6631 and 6624
1. What is the GCF of 6624 and 6631?
Answer: GCF of 6624 and 6631 is 1.
2. What are the Factors of 6624?
Answer: Factors of 6624 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 32, 36, 46, 48, 69, 72, 92, 96, 138, 144, 184, 207, 276, 288, 368, 414, 552, 736, 828, 1104, 1656, 2208, 3312, 6624. There are 36 integers that are factors of 6624. The greatest factor of 6624 is 6624.
3. What are the Factors of 6631?
Answer: Factors of 6631 are 1, 19, 349, 6631. There are 4 integers that are factors of 6631. The greatest factor of 6631 is 6631.
4. How to Find the GCF of 6624 and 6631?
Answer:
Greatest Common Factor of 6624 and 6631 = 1
Step 1: Find the prime factorization of 6624
6624 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 23
Step 2: Find the prime factorization of 6631
6631 = 19 x 349
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 6624 and 6631 is 1