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 13203, 13208 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 13203 and 13208 is 1.
GCF(13203,13208) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 13203
3 | 13203 |
3 | 4401 |
3 | 1467 |
3 | 489 |
163 | 163 |
1 |
Prime factors of 13203 are 3,163. Prime factorization of 13203 in exponential form is:
13203 = 34×1631
Prime Factorization of 13208
2 | 13208 |
2 | 6604 |
2 | 3302 |
13 | 1651 |
127 | 127 |
1 |
Prime factors of 13208 are 2,13,127. Prime factorization of 13208 in exponential form is:
13208 = 23×131×1271
∴ So by taking common prime factors GCF of 13203 and 13208 is 1
Factors of 13203
List of positive integer factors of 13203 that divides 13203 without a remainder.
1,3,9,27,81,163,489,1467,4401,13203
Factors of 13208
List of positive integer factors of 13208 that divides 13208 without a remainder.
1,2,4,8,13,26,52,104,127,254,508,1016,1651,3302,6604,13208
Greatest Common Factor
We found the factors and prime factorization of 13203 and 13208. The biggest common factor number is the GCF number.
So the greatest common factor 13203 and 13208 is 1.
Also check out the Least Common Multiple of 13203 and 13208
(i) The GCF of 13203 and 13208 is associative
GCF of 13203 and 13208 = GCF of 13208 and 13203
1. What is the GCF of 13203 and 13208?
Answer: GCF of 13203 and 13208 is 1.
2. What are the Factors of 13203?
Answer: Factors of 13203 are 1, 3, 9, 27, 81, 163, 489, 1467, 4401, 13203. There are 10 integers that are factors of 13203. The greatest factor of 13203 is 13203.
3. What are the Factors of 13208?
Answer: Factors of 13208 are 1, 2, 4, 8, 13, 26, 52, 104, 127, 254, 508, 1016, 1651, 3302, 6604, 13208. There are 16 integers that are factors of 13208. The greatest factor of 13208 is 13208.
4. How to Find the GCF of 13203 and 13208?
Answer:
Greatest Common Factor of 13203 and 13208 = 1
Step 1: Find the prime factorization of 13203
13203 = 3 x 3 x 3 x 3 x 163
Step 2: Find the prime factorization of 13208
13208 = 2 x 2 x 2 x 13 x 127
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 13203 and 13208 is 1