Greatest Common Factor of 36120 and 36125

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 36120, 36125 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36120 and 36125 is 5.

GCF(36120,36125) = 5

GCF of 36120 and 36125

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

GCF of:
and

Greatest Common Factor of 36120 and 36125

GCF of 36120 and 36125 is 5

Prime Factorization of 36120


2 36120
2 18060
2 9030
3 4515
5 1505
7 301
43 43
1

Prime factors of 36120 are 2,3,5,7,43. Prime factorization of 36120 in exponential form is:

36120 = 23×31×51×71×431

Prime Factorization of 36125


5 36125
5 7225
5 1445
17 289
17 17
1

Prime factors of 36125 are 5,17. Prime factorization of 36125 in exponential form is:

36125 = 53×172

∴ So by taking common prime factors GCF of 36120 and 36125 is 5

Greatest Common Factor of 36120 and 36125 by matching factors method

Factors of 36120

List of positive integer factors of 36120 that divides 36120 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,43,56,60,70,84,86,105,120,129,140,168,172,210,215,258,280,301,344,420,430,516,602,645,840,860,903,1032,1204,1290,1505,1720,1806,2408,2580,3010,3612,4515,5160,6020,7224,9030,12040,18060,36120

Factors of 36125

List of positive integer factors of 36125 that divides 36125 without a remainder.

1,5,17,25,85,125,289,425,1445,2125,7225,36125

Greatest Common Factor

We found the factors and prime factorization of 36120 and 36125. The biggest common factor number is the GCF number.
So the greatest common factor 36120 and 36125 is 5.

Also check out the Least Common Multiple of 36120 and 36125

Properties of GCF 36120 and 36125

(i) The GCF of 36120 and 36125 is associative

GCF of 36120 and 36125 = GCF of 36125 and 36120

Related Greatest Common Factor of 36120

Related Greatest Common Factor of 36125

Frequently Asked Questions on GCF of 36120 and 36125

1. What is the GCF of 36120 and 36125?

Answer: GCF of 36120 and 36125 is 5.

2. What are the Factors of 36120?

Answer: Factors of 36120 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 43, 56, 60, 70, 84, 86, 105, 120, 129, 140, 168, 172, 210, 215, 258, 280, 301, 344, 420, 430, 516, 602, 645, 840, 860, 903, 1032, 1204, 1290, 1505, 1720, 1806, 2408, 2580, 3010, 3612, 4515, 5160, 6020, 7224, 9030, 12040, 18060, 36120. There are 64 integers that are factors of 36120. The greatest factor of 36120 is 36120.

3. What are the Factors of 36125?

Answer: Factors of 36125 are 1, 5, 17, 25, 85, 125, 289, 425, 1445, 2125, 7225, 36125. There are 12 integers that are factors of 36125. The greatest factor of 36125 is 36125.

4. How to Find the GCF of 36120 and 36125?

Answer:

Greatest Common Factor of 36120 and 36125 = 5

Step 1: Find the prime factorization of 36120

36120 = 2 x 2 x 2 x 3 x 5 x 7 x 43

Step 2: Find the prime factorization of 36125

36125 = 5 x 5 x 5 x 17 x 17

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

GCF = 5

Step 4: Therefore, the greatest common factor of 36120 and 36125 is 5