Greatest Common Factor of 37164 and 37171

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 37164, 37171 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 37164 and 37171 is 1.

GCF(37164,37171) = 1

GCF of 37164 and 37171

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

GCF of:
and

Greatest Common Factor of 37164 and 37171

GCF of 37164 and 37171 is 1

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

Prime Factorization of 37171


37171 37171
1

Prime factors of 37171 are 37171. Prime factorization of 37171 in exponential form is:

37171 = 371711

∴ So by taking common prime factors GCF of 37164 and 37171 is 1

Greatest Common Factor of 37164 and 37171 by matching factors method

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

Factors of 37171

List of positive integer factors of 37171 that divides 37171 without a remainder.

1,37171

Greatest Common Factor

We found the factors and prime factorization of 37164 and 37171. The biggest common factor number is the GCF number.
So the greatest common factor 37164 and 37171 is 1.

Also check out the Least Common Multiple of 37164 and 37171

Properties of GCF 37164 and 37171

(i) The GCF of 37164 and 37171 is associative

GCF of 37164 and 37171 = GCF of 37171 and 37164

Related Greatest Common Factor of 37164

Related Greatest Common Factor of 37171

Frequently Asked Questions on GCF of 37164 and 37171

1. What is the GCF of 37164 and 37171?

Answer: GCF of 37164 and 37171 is 1.

2. 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.

3. What are the Factors of 37171?

Answer: Factors of 37171 are 1, 37171. There are 2 integers that are factors of 37171. The greatest factor of 37171 is 37171.

4. How to Find the GCF of 37164 and 37171?

Answer:

Greatest Common Factor of 37164 and 37171 = 1

Step 1: Find the prime factorization of 37164

37164 = 2 x 2 x 3 x 19 x 163

Step 2: Find the prime factorization of 37171

37171 = 37171

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 37164 and 37171 is 1