Greatest Common Factor of 313462 and 313467

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

GCF of 313462 and 313467

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 313462 and 313467

GCF of 313462 and 313467 is 1

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

Greatest Common Factor of 313462 and 313467 by matching factors method

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

Properties of GCF 313462 and 313467

(i) The GCF of 313462 and 313467 is associative

GCF of 313462 and 313467 = GCF of 313467 and 313462

Frequently Asked Questions on GCF of 313462 and 313467

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