Greatest Common Factor of 146344 and 146348

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, 146348 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 146344 and 146348 is 4.

GCF(146344,146348) = 4

GCF of 146344 and 146348

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

GCF of:
and

Greatest Common Factor of 146344 and 146348

GCF of 146344 and 146348 is 4

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 146348


2 146348
2 73174
36587 36587
1

Prime factors of 146348 are 2,36587. Prime factorization of 146348 in exponential form is:

146348 = 22×365871

∴ So by taking common prime factors GCF of 146344 and 146348 is 4

Greatest Common Factor of 146344 and 146348 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 146348

List of positive integer factors of 146348 that divides 146348 without a remainder.

1,2,4,36587,73174,146348

Greatest Common Factor

We found the factors and prime factorization of 146344 and 146348. The biggest common factor number is the GCF number.
So the greatest common factor 146344 and 146348 is 4.

Also check out the Least Common Multiple of 146344 and 146348

Properties of GCF 146344 and 146348

(i) The GCF of 146344 and 146348 is associative

GCF of 146344 and 146348 = GCF of 146348 and 146344

Related Greatest Common Factor of 146344

Related Greatest Common Factor of 146348

Frequently Asked Questions on GCF of 146344 and 146348

1. What is the GCF of 146344 and 146348?

Answer: GCF of 146344 and 146348 is 4.

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 146348?

Answer: Factors of 146348 are 1, 2, 4, 36587, 73174, 146348. There are 6 integers that are factors of 146348. The greatest factor of 146348 is 146348.

4. How to Find the GCF of 146344 and 146348?

Answer:

Greatest Common Factor of 146344 and 146348 = 4

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 146348

146348 = 2 x 2 x 36587

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 146344 and 146348 is 4