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 313462, 313467 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 313462 and 313467 is 1.
GCF(313462,313467) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 313462
2 | 313462 |
19 | 156731 |
73 | 8249 |
113 | 113 |
1 |
Prime factors of 313462 are 2,19,73,113. Prime factorization of 313462 in exponential form is:
313462 = 21×191×731×1131
Prime Factorization of 313467
3 | 313467 |
7 | 104489 |
11 | 14927 |
23 | 1357 |
59 | 59 |
1 |
Prime factors of 313467 are 3,7,11,23,59. Prime factorization of 313467 in exponential form is:
313467 = 31×71×111×231×591
∴ So by taking common prime factors GCF of 313462 and 313467 is 1
Factors of 313462
List of positive integer factors of 313462 that divides 313462 without a remainder.
1,2,19,38,73,113,146,226,1387,2147,2774,4294,8249,16498,156731,313462
Factors of 313467
List of positive integer factors of 313467 that divides 313467 without a remainder.
1,3,7,11,21,23,33,59,69,77,161,177,231,253,413,483,649,759,1239,1357,1771,1947,4071,4543,5313,9499,13629,14927,28497,44781,104489,313467
Greatest Common Factor
We found the factors and prime factorization of 313462 and 313467. The biggest common factor number is the GCF number.
So the greatest common factor 313462 and 313467 is 1.
Also check out the Least Common Multiple of 313462 and 313467
(i) The GCF of 313462 and 313467 is associative
GCF of 313462 and 313467 = GCF of 313467 and 313462
1. What is the GCF of 313462 and 313467?
Answer: GCF of 313462 and 313467 is 1.
2. What are the Factors of 313462?
Answer: Factors of 313462 are 1, 2, 19, 38, 73, 113, 146, 226, 1387, 2147, 2774, 4294, 8249, 16498, 156731, 313462. There are 16 integers that are factors of 313462. The greatest factor of 313462 is 313462.
3. What are the Factors of 313467?
Answer: Factors of 313467 are 1, 3, 7, 11, 21, 23, 33, 59, 69, 77, 161, 177, 231, 253, 413, 483, 649, 759, 1239, 1357, 1771, 1947, 4071, 4543, 5313, 9499, 13629, 14927, 28497, 44781, 104489, 313467. There are 32 integers that are factors of 313467. The greatest factor of 313467 is 313467.
4. How to Find the GCF of 313462 and 313467?
Answer:
Greatest Common Factor of 313462 and 313467 = 1
Step 1: Find the prime factorization of 313462
313462 = 2 x 19 x 73 x 113
Step 2: Find the prime factorization of 313467
313467 = 3 x 7 x 11 x 23 x 59
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 313462 and 313467 is 1