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 144346, 144348 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 144346 and 144348 is 2.
GCF(144346,144348) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 144346
2 | 144346 |
72173 | 72173 |
1 |
Prime factors of 144346 are 2,72173. Prime factorization of 144346 in exponential form is:
144346 = 21×721731
Prime Factorization of 144348
2 | 144348 |
2 | 72174 |
3 | 36087 |
23 | 12029 |
523 | 523 |
1 |
Prime factors of 144348 are 2,3,23,523. Prime factorization of 144348 in exponential form is:
144348 = 22×31×231×5231
∴ So by taking common prime factors GCF of 144346 and 144348 is 2
Factors of 144346
List of positive integer factors of 144346 that divides 144346 without a remainder.
1,2,72173,144346
Factors of 144348
List of positive integer factors of 144348 that divides 144348 without a remainder.
1,2,3,4,6,12,23,46,69,92,138,276,523,1046,1569,2092,3138,6276,12029,24058,36087,48116,72174,144348
Greatest Common Factor
We found the factors and prime factorization of 144346 and 144348. The biggest common factor number is the GCF number.
So the greatest common factor 144346 and 144348 is 2.
Also check out the Least Common Multiple of 144346 and 144348
(i) The GCF of 144346 and 144348 is associative
GCF of 144346 and 144348 = GCF of 144348 and 144346
1. What is the GCF of 144346 and 144348?
Answer: GCF of 144346 and 144348 is 2.
2. What are the Factors of 144346?
Answer: Factors of 144346 are 1, 2, 72173, 144346. There are 4 integers that are factors of 144346. The greatest factor of 144346 is 144346.
3. What are the Factors of 144348?
Answer: Factors of 144348 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 523, 1046, 1569, 2092, 3138, 6276, 12029, 24058, 36087, 48116, 72174, 144348. There are 24 integers that are factors of 144348. The greatest factor of 144348 is 144348.
4. How to Find the GCF of 144346 and 144348?
Answer:
Greatest Common Factor of 144346 and 144348 = 2
Step 1: Find the prime factorization of 144346
144346 = 2 x 72173
Step 2: Find the prime factorization of 144348
144348 = 2 x 2 x 3 x 23 x 523
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 144346 and 144348 is 2