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 4638, 4644 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4638 and 4644 is 6.
GCF(4638,4644) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4638
2 | 4638 |
3 | 2319 |
773 | 773 |
1 |
Prime factors of 4638 are 2,3,773. Prime factorization of 4638 in exponential form is:
4638 = 21×31×7731
Prime Factorization of 4644
2 | 4644 |
2 | 2322 |
3 | 1161 |
3 | 387 |
3 | 129 |
43 | 43 |
1 |
Prime factors of 4644 are 2,3,43. Prime factorization of 4644 in exponential form is:
4644 = 22×33×431
∴ So by taking common prime factors GCF of 4638 and 4644 is 6
Factors of 4638
List of positive integer factors of 4638 that divides 4638 without a remainder.
1,2,3,6,773,1546,2319,4638
Factors of 4644
List of positive integer factors of 4644 that divides 4644 without a remainder.
1,2,3,4,6,9,12,18,27,36,43,54,86,108,129,172,258,387,516,774,1161,1548,2322,4644
Greatest Common Factor
We found the factors and prime factorization of 4638 and 4644. The biggest common factor number is the GCF number.
So the greatest common factor 4638 and 4644 is 6.
Also check out the Least Common Multiple of 4638 and 4644
(i) The GCF of 4638 and 4644 is associative
GCF of 4638 and 4644 = GCF of 4644 and 4638
1. What is the GCF of 4638 and 4644?
Answer: GCF of 4638 and 4644 is 6.
2. What are the Factors of 4638?
Answer: Factors of 4638 are 1, 2, 3, 6, 773, 1546, 2319, 4638. There are 8 integers that are factors of 4638. The greatest factor of 4638 is 4638.
3. What are the Factors of 4644?
Answer: Factors of 4644 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 43, 54, 86, 108, 129, 172, 258, 387, 516, 774, 1161, 1548, 2322, 4644. There are 24 integers that are factors of 4644. The greatest factor of 4644 is 4644.
4. How to Find the GCF of 4638 and 4644?
Answer:
Greatest Common Factor of 4638 and 4644 = 6
Step 1: Find the prime factorization of 4638
4638 = 2 x 3 x 773
Step 2: Find the prime factorization of 4644
4644 = 2 x 2 x 3 x 3 x 3 x 43
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 4638 and 4644 is 6