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 144348, 144352 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 144348 and 144352 is 4.
GCF(144348,144352) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 144352
2 | 144352 |
2 | 72176 |
2 | 36088 |
2 | 18044 |
2 | 9022 |
13 | 4511 |
347 | 347 |
1 |
Prime factors of 144352 are 2,13,347. Prime factorization of 144352 in exponential form is:
144352 = 25×131×3471
∴ So by taking common prime factors GCF of 144348 and 144352 is 4
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
Factors of 144352
List of positive integer factors of 144352 that divides 144352 without a remainder.
1,2,4,8,13,16,26,32,52,104,208,347,416,694,1388,2776,4511,5552,9022,11104,18044,36088,72176,144352
Greatest Common Factor
We found the factors and prime factorization of 144348 and 144352. The biggest common factor number is the GCF number.
So the greatest common factor 144348 and 144352 is 4.
Also check out the Least Common Multiple of 144348 and 144352
(i) The GCF of 144348 and 144352 is associative
GCF of 144348 and 144352 = GCF of 144352 and 144348
1. What is the GCF of 144348 and 144352?
Answer: GCF of 144348 and 144352 is 4.
2. 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.
3. What are the Factors of 144352?
Answer: Factors of 144352 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 347, 416, 694, 1388, 2776, 4511, 5552, 9022, 11104, 18044, 36088, 72176, 144352. There are 24 integers that are factors of 144352. The greatest factor of 144352 is 144352.
4. How to Find the GCF of 144348 and 144352?
Answer:
Greatest Common Factor of 144348 and 144352 = 4
Step 1: Find the prime factorization of 144348
144348 = 2 x 2 x 3 x 23 x 523
Step 2: Find the prime factorization of 144352
144352 = 2 x 2 x 2 x 2 x 2 x 13 x 347
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 144348 and 144352 is 4