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 320402, 320408 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 320402 and 320408 is 2.
GCF(320402,320408) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 320402
2 | 320402 |
160201 | 160201 |
1 |
Prime factors of 320402 are 2,160201. Prime factorization of 320402 in exponential form is:
320402 = 21×1602011
Prime Factorization of 320408
2 | 320408 |
2 | 160204 |
2 | 80102 |
11 | 40051 |
11 | 3641 |
331 | 331 |
1 |
Prime factors of 320408 are 2,11,331. Prime factorization of 320408 in exponential form is:
320408 = 23×112×3311
∴ So by taking common prime factors GCF of 320402 and 320408 is 2
Factors of 320402
List of positive integer factors of 320402 that divides 320402 without a remainder.
1,2,160201,320402
Factors of 320408
List of positive integer factors of 320408 that divides 320408 without a remainder.
1,2,4,8,11,22,44,88,121,242,331,484,662,968,1324,2648,3641,7282,14564,29128,40051,80102,160204,320408
Greatest Common Factor
We found the factors and prime factorization of 320402 and 320408. The biggest common factor number is the GCF number.
So the greatest common factor 320402 and 320408 is 2.
Also check out the Least Common Multiple of 320402 and 320408
(i) The GCF of 320402 and 320408 is associative
GCF of 320402 and 320408 = GCF of 320408 and 320402
1. What is the GCF of 320402 and 320408?
Answer: GCF of 320402 and 320408 is 2.
2. What are the Factors of 320402?
Answer: Factors of 320402 are 1, 2, 160201, 320402. There are 4 integers that are factors of 320402. The greatest factor of 320402 is 320402.
3. What are the Factors of 320408?
Answer: Factors of 320408 are 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 331, 484, 662, 968, 1324, 2648, 3641, 7282, 14564, 29128, 40051, 80102, 160204, 320408. There are 24 integers that are factors of 320408. The greatest factor of 320408 is 320408.
4. How to Find the GCF of 320402 and 320408?
Answer:
Greatest Common Factor of 320402 and 320408 = 2
Step 1: Find the prime factorization of 320402
320402 = 2 x 160201
Step 2: Find the prime factorization of 320408
320408 = 2 x 2 x 2 x 11 x 11 x 331
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 320402 and 320408 is 2