Greatest Common Factor of 37176 and 37184

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 37176, 37184 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 37176 and 37184 is 8.

GCF(37176,37184) = 8

GCF of 37176 and 37184

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

GCF of:
and

Greatest Common Factor of 37176 and 37184

GCF of 37176 and 37184 is 8

Prime Factorization of 37176


2 37176
2 18588
2 9294
3 4647
1549 1549
1

Prime factors of 37176 are 2,3,1549. Prime factorization of 37176 in exponential form is:

37176 = 23×31×15491

Prime Factorization of 37184


2 37184
2 18592
2 9296
2 4648
2 2324
2 1162
7 581
83 83
1

Prime factors of 37184 are 2,7,83. Prime factorization of 37184 in exponential form is:

37184 = 26×71×831

∴ So by taking common prime factors GCF of 37176 and 37184 is 8

Greatest Common Factor of 37176 and 37184 by matching factors method

Factors of 37176

List of positive integer factors of 37176 that divides 37176 without a remainder.

1,2,3,4,6,8,12,24,1549,3098,4647,6196,9294,12392,18588,37176

Factors of 37184

List of positive integer factors of 37184 that divides 37184 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,83,112,166,224,332,448,581,664,1162,1328,2324,2656,4648,5312,9296,18592,37184

Greatest Common Factor

We found the factors and prime factorization of 37176 and 37184. The biggest common factor number is the GCF number.
So the greatest common factor 37176 and 37184 is 8.

Also check out the Least Common Multiple of 37176 and 37184

Properties of GCF 37176 and 37184

(i) The GCF of 37176 and 37184 is associative

GCF of 37176 and 37184 = GCF of 37184 and 37176

Related Greatest Common Factor of 37176

Related Greatest Common Factor of 37184

Frequently Asked Questions on GCF of 37176 and 37184

1. What is the GCF of 37176 and 37184?

Answer: GCF of 37176 and 37184 is 8.

2. What are the Factors of 37176?

Answer: Factors of 37176 are 1, 2, 3, 4, 6, 8, 12, 24, 1549, 3098, 4647, 6196, 9294, 12392, 18588, 37176. There are 16 integers that are factors of 37176. The greatest factor of 37176 is 37176.

3. What are the Factors of 37184?

Answer: Factors of 37184 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 83, 112, 166, 224, 332, 448, 581, 664, 1162, 1328, 2324, 2656, 4648, 5312, 9296, 18592, 37184. There are 28 integers that are factors of 37184. The greatest factor of 37184 is 37184.

4. How to Find the GCF of 37176 and 37184?

Answer:

Greatest Common Factor of 37176 and 37184 = 8

Step 1: Find the prime factorization of 37176

37176 = 2 x 2 x 2 x 3 x 1549

Step 2: Find the prime factorization of 37184

37184 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 83

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 37176 and 37184 is 8