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 144392, 144396 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 144392 and 144396 is 4.
GCF(144392,144396) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 144392
2 | 144392 |
2 | 72196 |
2 | 36098 |
18049 | 18049 |
1 |
Prime factors of 144392 are 2,18049. Prime factorization of 144392 in exponential form is:
144392 = 23×180491
Prime Factorization of 144396
2 | 144396 |
2 | 72198 |
3 | 36099 |
3 | 12033 |
3 | 4011 |
7 | 1337 |
191 | 191 |
1 |
Prime factors of 144396 are 2,3,7,191. Prime factorization of 144396 in exponential form is:
144396 = 22×33×71×1911
∴ So by taking common prime factors GCF of 144392 and 144396 is 4
Factors of 144392
List of positive integer factors of 144392 that divides 144392 without a remainder.
1,2,4,8,18049,36098,72196,144392
Factors of 144396
List of positive integer factors of 144396 that divides 144396 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,191,252,378,382,573,756,764,1146,1337,1719,2292,2674,3438,4011,5157,5348,6876,8022,10314,12033,16044,20628,24066,36099,48132,72198,144396
Greatest Common Factor
We found the factors and prime factorization of 144392 and 144396. The biggest common factor number is the GCF number.
So the greatest common factor 144392 and 144396 is 4.
Also check out the Least Common Multiple of 144392 and 144396
(i) The GCF of 144392 and 144396 is associative
GCF of 144392 and 144396 = GCF of 144396 and 144392
1. What is the GCF of 144392 and 144396?
Answer: GCF of 144392 and 144396 is 4.
2. What are the Factors of 144392?
Answer: Factors of 144392 are 1, 2, 4, 8, 18049, 36098, 72196, 144392. There are 8 integers that are factors of 144392. The greatest factor of 144392 is 144392.
3. What are the Factors of 144396?
Answer: Factors of 144396 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 191, 252, 378, 382, 573, 756, 764, 1146, 1337, 1719, 2292, 2674, 3438, 4011, 5157, 5348, 6876, 8022, 10314, 12033, 16044, 20628, 24066, 36099, 48132, 72198, 144396. There are 48 integers that are factors of 144396. The greatest factor of 144396 is 144396.
4. How to Find the GCF of 144392 and 144396?
Answer:
Greatest Common Factor of 144392 and 144396 = 4
Step 1: Find the prime factorization of 144392
144392 = 2 x 2 x 2 x 18049
Step 2: Find the prime factorization of 144396
144396 = 2 x 2 x 3 x 3 x 3 x 7 x 191
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 144392 and 144396 is 4