Greatest Common Factor of 146348 and 146350

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 146348, 146350 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 146348 and 146350 is 2.

GCF(146348,146350) = 2

GCF of 146348 and 146350

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

GCF of:
and

Greatest Common Factor of 146348 and 146350

GCF of 146348 and 146350 is 2

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

Prime Factorization of 146350


2 146350
5 73175
5 14635
2927 2927
1

Prime factors of 146350 are 2,5,2927. Prime factorization of 146350 in exponential form is:

146350 = 21×52×29271

∴ So by taking common prime factors GCF of 146348 and 146350 is 2

Greatest Common Factor of 146348 and 146350 by matching factors method

Factors of 146348

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

1,2,4,36587,73174,146348

Factors of 146350

List of positive integer factors of 146350 that divides 146350 without a remainder.

1,2,5,10,25,50,2927,5854,14635,29270,73175,146350

Greatest Common Factor

We found the factors and prime factorization of 146348 and 146350. The biggest common factor number is the GCF number.
So the greatest common factor 146348 and 146350 is 2.

Also check out the Least Common Multiple of 146348 and 146350

Properties of GCF 146348 and 146350

(i) The GCF of 146348 and 146350 is associative

GCF of 146348 and 146350 = GCF of 146350 and 146348

Related Greatest Common Factor of 146348

Related Greatest Common Factor of 146350

Frequently Asked Questions on GCF of 146348 and 146350

1. What is the GCF of 146348 and 146350?

Answer: GCF of 146348 and 146350 is 2.

2. 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.

3. What are the Factors of 146350?

Answer: Factors of 146350 are 1, 2, 5, 10, 25, 50, 2927, 5854, 14635, 29270, 73175, 146350. There are 12 integers that are factors of 146350. The greatest factor of 146350 is 146350.

4. How to Find the GCF of 146348 and 146350?

Answer:

Greatest Common Factor of 146348 and 146350 = 2

Step 1: Find the prime factorization of 146348

146348 = 2 x 2 x 36587

Step 2: Find the prime factorization of 146350

146350 = 2 x 5 x 5 x 2927

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

GCF = 2

Step 4: Therefore, the greatest common factor of 146348 and 146350 is 2