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 144402, 144408 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 144402 and 144408 is 6.
GCF(144402,144408) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 144402
2 | 144402 |
3 | 72201 |
41 | 24067 |
587 | 587 |
1 |
Prime factors of 144402 are 2,3,41,587. Prime factorization of 144402 in exponential form is:
144402 = 21×31×411×5871
Prime Factorization of 144408
2 | 144408 |
2 | 72204 |
2 | 36102 |
3 | 18051 |
11 | 6017 |
547 | 547 |
1 |
Prime factors of 144408 are 2,3,11,547. Prime factorization of 144408 in exponential form is:
144408 = 23×31×111×5471
∴ So by taking common prime factors GCF of 144402 and 144408 is 6
Factors of 144402
List of positive integer factors of 144402 that divides 144402 without a remainder.
1,2,3,6,41,82,123,246,587,1174,1761,3522,24067,48134,72201,144402
Factors of 144408
List of positive integer factors of 144408 that divides 144408 without a remainder.
1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264,547,1094,1641,2188,3282,4376,6017,6564,12034,13128,18051,24068,36102,48136,72204,144408
Greatest Common Factor
We found the factors and prime factorization of 144402 and 144408. The biggest common factor number is the GCF number.
So the greatest common factor 144402 and 144408 is 6.
Also check out the Least Common Multiple of 144402 and 144408
(i) The GCF of 144402 and 144408 is associative
GCF of 144402 and 144408 = GCF of 144408 and 144402
1. What is the GCF of 144402 and 144408?
Answer: GCF of 144402 and 144408 is 6.
2. What are the Factors of 144402?
Answer: Factors of 144402 are 1, 2, 3, 6, 41, 82, 123, 246, 587, 1174, 1761, 3522, 24067, 48134, 72201, 144402. There are 16 integers that are factors of 144402. The greatest factor of 144402 is 144402.
3. What are the Factors of 144408?
Answer: Factors of 144408 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264, 547, 1094, 1641, 2188, 3282, 4376, 6017, 6564, 12034, 13128, 18051, 24068, 36102, 48136, 72204, 144408. There are 32 integers that are factors of 144408. The greatest factor of 144408 is 144408.
4. How to Find the GCF of 144402 and 144408?
Answer:
Greatest Common Factor of 144402 and 144408 = 6
Step 1: Find the prime factorization of 144402
144402 = 2 x 3 x 41 x 587
Step 2: Find the prime factorization of 144408
144408 = 2 x 2 x 2 x 3 x 11 x 547
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 144402 and 144408 is 6