Greatest Common Factor of 36120 and 36124

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, 36124 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36120 and 36124 is 4.

GCF(36120,36124) = 4

GCF of 36120 and 36124

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

GCF of:
and

Greatest Common Factor of 36120 and 36124

GCF of 36120 and 36124 is 4

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 36124


2 36124
2 18062
11 9031
821 821
1

Prime factors of 36124 are 2,11,821. Prime factorization of 36124 in exponential form is:

36124 = 22×111×8211

∴ So by taking common prime factors GCF of 36120 and 36124 is 4

Greatest Common Factor of 36120 and 36124 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 36124

List of positive integer factors of 36124 that divides 36124 without a remainder.

1,2,4,11,22,44,821,1642,3284,9031,18062,36124

Greatest Common Factor

We found the factors and prime factorization of 36120 and 36124. The biggest common factor number is the GCF number.
So the greatest common factor 36120 and 36124 is 4.

Also check out the Least Common Multiple of 36120 and 36124

Properties of GCF 36120 and 36124

(i) The GCF of 36120 and 36124 is associative

GCF of 36120 and 36124 = GCF of 36124 and 36120

Related Greatest Common Factor of 36120

Related Greatest Common Factor of 36124

Frequently Asked Questions on GCF of 36120 and 36124

1. What is the GCF of 36120 and 36124?

Answer: GCF of 36120 and 36124 is 4.

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 36124?

Answer: Factors of 36124 are 1, 2, 4, 11, 22, 44, 821, 1642, 3284, 9031, 18062, 36124. There are 12 integers that are factors of 36124. The greatest factor of 36124 is 36124.

4. How to Find the GCF of 36120 and 36124?

Answer:

Greatest Common Factor of 36120 and 36124 = 4

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 36124

36124 = 2 x 2 x 11 x 821

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 36120 and 36124 is 4