Greatest Common Factor of 39150 and 39153

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 39150, 39153 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 39150 and 39153 is 3.

GCF(39150,39153) = 3

GCF of 39150 and 39153

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

GCF of:
and

Greatest Common Factor of 39150 and 39153

GCF of 39150 and 39153 is 3

Prime Factorization of 39150


2 39150
3 19575
3 6525
3 2175
5 725
5 145
29 29
1

Prime factors of 39150 are 2,3,5,29. Prime factorization of 39150 in exponential form is:

39150 = 21×33×52×291

Prime Factorization of 39153


3 39153
31 13051
421 421
1

Prime factors of 39153 are 3,31,421. Prime factorization of 39153 in exponential form is:

39153 = 31×311×4211

∴ So by taking common prime factors GCF of 39150 and 39153 is 3

Greatest Common Factor of 39150 and 39153 by matching factors method

Factors of 39150

List of positive integer factors of 39150 that divides 39150 without a remainder.

1,2,3,5,6,9,10,15,18,25,27,29,30,45,50,54,58,75,87,90,135,145,150,174,225,261,270,290,435,450,522,675,725,783,870,1305,1350,1450,1566,2175,2610,3915,4350,6525,7830,13050,19575,39150

Factors of 39153

List of positive integer factors of 39153 that divides 39153 without a remainder.

1,3,31,93,421,1263,13051,39153

Greatest Common Factor

We found the factors and prime factorization of 39150 and 39153. The biggest common factor number is the GCF number.
So the greatest common factor 39150 and 39153 is 3.

Also check out the Least Common Multiple of 39150 and 39153

Properties of GCF 39150 and 39153

(i) The GCF of 39150 and 39153 is associative

GCF of 39150 and 39153 = GCF of 39153 and 39150

Related Greatest Common Factor of 39150

Related Greatest Common Factor of 39153

Frequently Asked Questions on GCF of 39150 and 39153

1. What is the GCF of 39150 and 39153?

Answer: GCF of 39150 and 39153 is 3.

2. What are the Factors of 39150?

Answer: Factors of 39150 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 29, 30, 45, 50, 54, 58, 75, 87, 90, 135, 145, 150, 174, 225, 261, 270, 290, 435, 450, 522, 675, 725, 783, 870, 1305, 1350, 1450, 1566, 2175, 2610, 3915, 4350, 6525, 7830, 13050, 19575, 39150. There are 48 integers that are factors of 39150. The greatest factor of 39150 is 39150.

3. What are the Factors of 39153?

Answer: Factors of 39153 are 1, 3, 31, 93, 421, 1263, 13051, 39153. There are 8 integers that are factors of 39153. The greatest factor of 39153 is 39153.

4. How to Find the GCF of 39150 and 39153?

Answer:

Greatest Common Factor of 39150 and 39153 = 3

Step 1: Find the prime factorization of 39150

39150 = 2 x 3 x 3 x 3 x 5 x 5 x 29

Step 2: Find the prime factorization of 39153

39153 = 3 x 31 x 421

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

GCF = 3

Step 4: Therefore, the greatest common factor of 39150 and 39153 is 3