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 306442, 306448 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 306442 and 306448 is 2.
GCF(306442,306448) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 306442
2 | 306442 |
17 | 153221 |
9013 | 9013 |
1 |
Prime factors of 306442 are 2,17,9013. Prime factorization of 306442 in exponential form is:
306442 = 21×171×90131
Prime Factorization of 306448
2 | 306448 |
2 | 153224 |
2 | 76612 |
2 | 38306 |
107 | 19153 |
179 | 179 |
1 |
Prime factors of 306448 are 2,107,179. Prime factorization of 306448 in exponential form is:
306448 = 24×1071×1791
∴ So by taking common prime factors GCF of 306442 and 306448 is 2
Factors of 306442
List of positive integer factors of 306442 that divides 306442 without a remainder.
1,2,17,34,9013,18026,153221,306442
Factors of 306448
List of positive integer factors of 306448 that divides 306448 without a remainder.
1,2,4,8,16,107,179,214,358,428,716,856,1432,1712,2864,19153,38306,76612,153224,306448
Greatest Common Factor
We found the factors and prime factorization of 306442 and 306448. The biggest common factor number is the GCF number.
So the greatest common factor 306442 and 306448 is 2.
Also check out the Least Common Multiple of 306442 and 306448
(i) The GCF of 306442 and 306448 is associative
GCF of 306442 and 306448 = GCF of 306448 and 306442
1. What is the GCF of 306442 and 306448?
Answer: GCF of 306442 and 306448 is 2.
2. What are the Factors of 306442?
Answer: Factors of 306442 are 1, 2, 17, 34, 9013, 18026, 153221, 306442. There are 8 integers that are factors of 306442. The greatest factor of 306442 is 306442.
3. What are the Factors of 306448?
Answer: Factors of 306448 are 1, 2, 4, 8, 16, 107, 179, 214, 358, 428, 716, 856, 1432, 1712, 2864, 19153, 38306, 76612, 153224, 306448. There are 20 integers that are factors of 306448. The greatest factor of 306448 is 306448.
4. How to Find the GCF of 306442 and 306448?
Answer:
Greatest Common Factor of 306442 and 306448 = 2
Step 1: Find the prime factorization of 306442
306442 = 2 x 17 x 9013
Step 2: Find the prime factorization of 306448
306448 = 2 x 2 x 2 x 2 x 107 x 179
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 306442 and 306448 is 2