Greatest Common Factor of 37158 and 37164

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 37158, 37164 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 37158 and 37164 is 6.

GCF(37158,37164) = 6

GCF of 37158 and 37164

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

GCF of:
and

Greatest Common Factor of 37158 and 37164

GCF of 37158 and 37164 is 6

Prime Factorization of 37158


2 37158
3 18579
11 6193
563 563
1

Prime factors of 37158 are 2,3,11,563. Prime factorization of 37158 in exponential form is:

37158 = 21×31×111×5631

Prime Factorization of 37164


2 37164
2 18582
3 9291
19 3097
163 163
1

Prime factors of 37164 are 2,3,19,163. Prime factorization of 37164 in exponential form is:

37164 = 22×31×191×1631

∴ So by taking common prime factors GCF of 37158 and 37164 is 6

Greatest Common Factor of 37158 and 37164 by matching factors method

Factors of 37158

List of positive integer factors of 37158 that divides 37158 without a remainder.

1,2,3,6,11,22,33,66,563,1126,1689,3378,6193,12386,18579,37158

Factors of 37164

List of positive integer factors of 37164 that divides 37164 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,163,228,326,489,652,978,1956,3097,6194,9291,12388,18582,37164

Greatest Common Factor

We found the factors and prime factorization of 37158 and 37164. The biggest common factor number is the GCF number.
So the greatest common factor 37158 and 37164 is 6.

Also check out the Least Common Multiple of 37158 and 37164

Properties of GCF 37158 and 37164

(i) The GCF of 37158 and 37164 is associative

GCF of 37158 and 37164 = GCF of 37164 and 37158

Related Greatest Common Factor of 37158

Related Greatest Common Factor of 37164

Frequently Asked Questions on GCF of 37158 and 37164

1. What is the GCF of 37158 and 37164?

Answer: GCF of 37158 and 37164 is 6.

2. What are the Factors of 37158?

Answer: Factors of 37158 are 1, 2, 3, 6, 11, 22, 33, 66, 563, 1126, 1689, 3378, 6193, 12386, 18579, 37158. There are 16 integers that are factors of 37158. The greatest factor of 37158 is 37158.

3. What are the Factors of 37164?

Answer: Factors of 37164 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 163, 228, 326, 489, 652, 978, 1956, 3097, 6194, 9291, 12388, 18582, 37164. There are 24 integers that are factors of 37164. The greatest factor of 37164 is 37164.

4. How to Find the GCF of 37158 and 37164?

Answer:

Greatest Common Factor of 37158 and 37164 = 6

Step 1: Find the prime factorization of 37158

37158 = 2 x 3 x 11 x 563

Step 2: Find the prime factorization of 37164

37164 = 2 x 2 x 3 x 19 x 163

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 37158 and 37164 is 6