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 1302, 1303 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1302 and 1303 is 1.
GCF(1302,1303) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1302
2 | 1302 |
3 | 651 |
7 | 217 |
31 | 31 |
1 |
Prime factors of 1302 are 2,3,7,31. Prime factorization of 1302 in exponential form is:
1302 = 21×31×71×311
Prime Factorization of 1303
1303 | 1303 |
1 |
Prime factors of 1303 are 1303. Prime factorization of 1303 in exponential form is:
1303 = 13031
∴ So by taking common prime factors GCF of 1302 and 1303 is 1
Factors of 1302
List of positive integer factors of 1302 that divides 1302 without a remainder.
1,2,3,6,7,14,21,31,42,62,93,186,217,434,651,1302
Factors of 1303
List of positive integer factors of 1303 that divides 1303 without a remainder.
1,1303
Greatest Common Factor
We found the factors and prime factorization of 1302 and 1303. The biggest common factor number is the GCF number.
So the greatest common factor 1302 and 1303 is 1.
Also check out the Least Common Multiple of 1302 and 1303
(i) The GCF of 1302 and 1303 is associative
GCF of 1302 and 1303 = GCF of 1303 and 1302
1. What is the GCF of 1302 and 1303?
Answer: GCF of 1302 and 1303 is 1.
2. What are the Factors of 1302?
Answer: Factors of 1302 are 1, 2, 3, 6, 7, 14, 21, 31, 42, 62, 93, 186, 217, 434, 651, 1302. There are 16 integers that are factors of 1302. The greatest factor of 1302 is 1302.
3. What are the Factors of 1303?
Answer: Factors of 1303 are 1, 1303. There are 2 integers that are factors of 1303. The greatest factor of 1303 is 1303.
4. How to Find the GCF of 1302 and 1303?
Answer:
Greatest Common Factor of 1302 and 1303 = 1
Step 1: Find the prime factorization of 1302
1302 = 2 x 3 x 7 x 31
Step 2: Find the prime factorization of 1303
1303 = 1303
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 1302 and 1303 is 1