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 31301, 31302 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 31301 and 31302 is 1.
GCF(31301,31302) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 31301
113 | 31301 |
277 | 277 |
1 |
Prime factors of 31301 are 113,277. Prime factorization of 31301 in exponential form is:
31301 = 1131×2771
Prime Factorization of 31302
2 | 31302 |
3 | 15651 |
3 | 5217 |
37 | 1739 |
47 | 47 |
1 |
Prime factors of 31302 are 2,3,37,47. Prime factorization of 31302 in exponential form is:
31302 = 21×32×371×471
∴ So by taking common prime factors GCF of 31301 and 31302 is 1
Factors of 31301
List of positive integer factors of 31301 that divides 31301 without a remainder.
1,113,277,31301
Factors of 31302
List of positive integer factors of 31302 that divides 31302 without a remainder.
1,2,3,6,9,18,37,47,74,94,111,141,222,282,333,423,666,846,1739,3478,5217,10434,15651,31302
Greatest Common Factor
We found the factors and prime factorization of 31301 and 31302. The biggest common factor number is the GCF number.
So the greatest common factor 31301 and 31302 is 1.
Also check out the Least Common Multiple of 31301 and 31302
(i) The GCF of 31301 and 31302 is associative
GCF of 31301 and 31302 = GCF of 31302 and 31301
1. What is the GCF of 31301 and 31302?
Answer: GCF of 31301 and 31302 is 1.
2. What are the Factors of 31301?
Answer: Factors of 31301 are 1, 113, 277, 31301. There are 4 integers that are factors of 31301. The greatest factor of 31301 is 31301.
3. What are the Factors of 31302?
Answer: Factors of 31302 are 1, 2, 3, 6, 9, 18, 37, 47, 74, 94, 111, 141, 222, 282, 333, 423, 666, 846, 1739, 3478, 5217, 10434, 15651, 31302. There are 24 integers that are factors of 31302. The greatest factor of 31302 is 31302.
4. How to Find the GCF of 31301 and 31302?
Answer:
Greatest Common Factor of 31301 and 31302 = 1
Step 1: Find the prime factorization of 31301
31301 = 113 x 277
Step 2: Find the prime factorization of 31302
31302 = 2 x 3 x 3 x 37 x 47
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 31301 and 31302 is 1