Greatest Common Factor of 146344 and 146349

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 146344, 146349 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 146344 and 146349 is 1.

GCF(146344,146349) = 1

GCF of 146344 and 146349

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

GCF of:
and

Greatest Common Factor of 146344 and 146349

GCF of 146344 and 146349 is 1

Prime Factorization of 146344


2 146344
2 73172
2 36586
11 18293
1663 1663
1

Prime factors of 146344 are 2,11,1663. Prime factorization of 146344 in exponential form is:

146344 = 23×111×16631

Prime Factorization of 146349


3 146349
3 48783
7 16261
23 2323
101 101
1

Prime factors of 146349 are 3,7,23,101. Prime factorization of 146349 in exponential form is:

146349 = 32×71×231×1011

∴ So by taking common prime factors GCF of 146344 and 146349 is 1

Greatest Common Factor of 146344 and 146349 by matching factors method

Factors of 146344

List of positive integer factors of 146344 that divides 146344 without a remainder.

1,2,4,8,11,22,44,88,1663,3326,6652,13304,18293,36586,73172,146344

Factors of 146349

List of positive integer factors of 146349 that divides 146349 without a remainder.

1,3,7,9,21,23,63,69,101,161,207,303,483,707,909,1449,2121,2323,6363,6969,16261,20907,48783,146349

Greatest Common Factor

We found the factors and prime factorization of 146344 and 146349. The biggest common factor number is the GCF number.
So the greatest common factor 146344 and 146349 is 1.

Also check out the Least Common Multiple of 146344 and 146349

Properties of GCF 146344 and 146349

(i) The GCF of 146344 and 146349 is associative

GCF of 146344 and 146349 = GCF of 146349 and 146344

Frequently Asked Questions on GCF of 146344 and 146349

1. What is the GCF of 146344 and 146349?

Answer: GCF of 146344 and 146349 is 1.

2. What are the Factors of 146344?

Answer: Factors of 146344 are 1, 2, 4, 8, 11, 22, 44, 88, 1663, 3326, 6652, 13304, 18293, 36586, 73172, 146344. There are 16 integers that are factors of 146344. The greatest factor of 146344 is 146344.

3. What are the Factors of 146349?

Answer: Factors of 146349 are 1, 3, 7, 9, 21, 23, 63, 69, 101, 161, 207, 303, 483, 707, 909, 1449, 2121, 2323, 6363, 6969, 16261, 20907, 48783, 146349. There are 24 integers that are factors of 146349. The greatest factor of 146349 is 146349.

4. How to Find the GCF of 146344 and 146349?

Answer:

Greatest Common Factor of 146344 and 146349 = 1

Step 1: Find the prime factorization of 146344

146344 = 2 x 2 x 2 x 11 x 1663

Step 2: Find the prime factorization of 146349

146349 = 3 x 3 x 7 x 23 x 101

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 146344 and 146349 is 1