Greatest Common Factor of 48150 and 48156

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 48150, 48156 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 48150 and 48156 is 6.

GCF(48150,48156) = 6

GCF of 48150 and 48156

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

GCF of:
and

Greatest Common Factor of 48150 and 48156

GCF of 48150 and 48156 is 6

Prime Factorization of 48150


2 48150
3 24075
3 8025
5 2675
5 535
107 107
1

Prime factors of 48150 are 2,3,5,107. Prime factorization of 48150 in exponential form is:

48150 = 21×32×52×1071

Prime Factorization of 48156


2 48156
2 24078
3 12039
4013 4013
1

Prime factors of 48156 are 2,3,4013. Prime factorization of 48156 in exponential form is:

48156 = 22×31×40131

∴ So by taking common prime factors GCF of 48150 and 48156 is 6

Greatest Common Factor of 48150 and 48156 by matching factors method

Factors of 48150

List of positive integer factors of 48150 that divides 48150 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,107,150,214,225,321,450,535,642,963,1070,1605,1926,2675,3210,4815,5350,8025,9630,16050,24075,48150

Factors of 48156

List of positive integer factors of 48156 that divides 48156 without a remainder.

1,2,3,4,6,12,4013,8026,12039,16052,24078,48156

Greatest Common Factor

We found the factors and prime factorization of 48150 and 48156. The biggest common factor number is the GCF number.
So the greatest common factor 48150 and 48156 is 6.

Also check out the Least Common Multiple of 48150 and 48156

Properties of GCF 48150 and 48156

(i) The GCF of 48150 and 48156 is associative

GCF of 48150 and 48156 = GCF of 48156 and 48150

Related Greatest Common Factor of 48150

Related Greatest Common Factor of 48156

Frequently Asked Questions on GCF of 48150 and 48156

1. What is the GCF of 48150 and 48156?

Answer: GCF of 48150 and 48156 is 6.

2. What are the Factors of 48150?

Answer: Factors of 48150 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 107, 150, 214, 225, 321, 450, 535, 642, 963, 1070, 1605, 1926, 2675, 3210, 4815, 5350, 8025, 9630, 16050, 24075, 48150. There are 36 integers that are factors of 48150. The greatest factor of 48150 is 48150.

3. What are the Factors of 48156?

Answer: Factors of 48156 are 1, 2, 3, 4, 6, 12, 4013, 8026, 12039, 16052, 24078, 48156. There are 12 integers that are factors of 48156. The greatest factor of 48156 is 48156.

4. How to Find the GCF of 48150 and 48156?

Answer:

Greatest Common Factor of 48150 and 48156 = 6

Step 1: Find the prime factorization of 48150

48150 = 2 x 3 x 3 x 5 x 5 x 107

Step 2: Find the prime factorization of 48156

48156 = 2 x 2 x 3 x 4013

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 48150 and 48156 is 6