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 4623, 4626 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4623 and 4626 is 3.
GCF(4623,4626) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4623
3 | 4623 |
23 | 1541 |
67 | 67 |
1 |
Prime factors of 4623 are 3,23,67. Prime factorization of 4623 in exponential form is:
4623 = 31×231×671
Prime Factorization of 4626
2 | 4626 |
3 | 2313 |
3 | 771 |
257 | 257 |
1 |
Prime factors of 4626 are 2,3,257. Prime factorization of 4626 in exponential form is:
4626 = 21×32×2571
∴ So by taking common prime factors GCF of 4623 and 4626 is 3
Factors of 4623
List of positive integer factors of 4623 that divides 4623 without a remainder.
1,3,23,67,69,201,1541,4623
Factors of 4626
List of positive integer factors of 4626 that divides 4626 without a remainder.
1,2,3,6,9,18,257,514,771,1542,2313,4626
Greatest Common Factor
We found the factors and prime factorization of 4623 and 4626. The biggest common factor number is the GCF number.
So the greatest common factor 4623 and 4626 is 3.
Also check out the Least Common Multiple of 4623 and 4626
(i) The GCF of 4623 and 4626 is associative
GCF of 4623 and 4626 = GCF of 4626 and 4623
1. What is the GCF of 4623 and 4626?
Answer: GCF of 4623 and 4626 is 3.
2. What are the Factors of 4623?
Answer: Factors of 4623 are 1, 3, 23, 67, 69, 201, 1541, 4623. There are 8 integers that are factors of 4623. The greatest factor of 4623 is 4623.
3. What are the Factors of 4626?
Answer: Factors of 4626 are 1, 2, 3, 6, 9, 18, 257, 514, 771, 1542, 2313, 4626. There are 12 integers that are factors of 4626. The greatest factor of 4626 is 4626.
4. How to Find the GCF of 4623 and 4626?
Answer:
Greatest Common Factor of 4623 and 4626 = 3
Step 1: Find the prime factorization of 4623
4623 = 3 x 23 x 67
Step 2: Find the prime factorization of 4626
4626 = 2 x 3 x 3 x 257
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 4623 and 4626 is 3