Greatest Common Factor of 36120 and 36126

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, 36126 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36120 and 36126 is 6.

GCF(36120,36126) = 6

GCF of 36120 and 36126

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

GCF of:
and

Greatest Common Factor of 36120 and 36126

GCF of 36120 and 36126 is 6

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 36126


2 36126
3 18063
3 6021
3 2007
3 669
223 223
1

Prime factors of 36126 are 2,3,223. Prime factorization of 36126 in exponential form is:

36126 = 21×34×2231

∴ So by taking common prime factors GCF of 36120 and 36126 is 6

Greatest Common Factor of 36120 and 36126 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 36126

List of positive integer factors of 36126 that divides 36126 without a remainder.

1,2,3,6,9,18,27,54,81,162,223,446,669,1338,2007,4014,6021,12042,18063,36126

Greatest Common Factor

We found the factors and prime factorization of 36120 and 36126. The biggest common factor number is the GCF number.
So the greatest common factor 36120 and 36126 is 6.

Also check out the Least Common Multiple of 36120 and 36126

Properties of GCF 36120 and 36126

(i) The GCF of 36120 and 36126 is associative

GCF of 36120 and 36126 = GCF of 36126 and 36120

Related Greatest Common Factor of 36120

Related Greatest Common Factor of 36126

Frequently Asked Questions on GCF of 36120 and 36126

1. What is the GCF of 36120 and 36126?

Answer: GCF of 36120 and 36126 is 6.

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 36126?

Answer: Factors of 36126 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 223, 446, 669, 1338, 2007, 4014, 6021, 12042, 18063, 36126. There are 20 integers that are factors of 36126. The greatest factor of 36126 is 36126.

4. How to Find the GCF of 36120 and 36126?

Answer:

Greatest Common Factor of 36120 and 36126 = 6

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 36126

36126 = 2 x 3 x 3 x 3 x 3 x 223

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 36120 and 36126 is 6