Greatest Common Factor of 39164 and 39172

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 39164, 39172 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 39164 and 39172 is 4.

GCF(39164,39172) = 4

GCF of 39164 and 39172

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

GCF of:
and

Greatest Common Factor of 39164 and 39172

GCF of 39164 and 39172 is 4

Prime Factorization of 39164


2 39164
2 19582
9791 9791
1

Prime factors of 39164 are 2,9791. Prime factorization of 39164 in exponential form is:

39164 = 22×97911

Prime Factorization of 39172


2 39172
2 19586
7 9793
1399 1399
1

Prime factors of 39172 are 2,7,1399. Prime factorization of 39172 in exponential form is:

39172 = 22×71×13991

∴ So by taking common prime factors GCF of 39164 and 39172 is 4

Greatest Common Factor of 39164 and 39172 by matching factors method

Factors of 39164

List of positive integer factors of 39164 that divides 39164 without a remainder.

1,2,4,9791,19582,39164

Factors of 39172

List of positive integer factors of 39172 that divides 39172 without a remainder.

1,2,4,7,14,28,1399,2798,5596,9793,19586,39172

Greatest Common Factor

We found the factors and prime factorization of 39164 and 39172. The biggest common factor number is the GCF number.
So the greatest common factor 39164 and 39172 is 4.

Also check out the Least Common Multiple of 39164 and 39172

Properties of GCF 39164 and 39172

(i) The GCF of 39164 and 39172 is associative

GCF of 39164 and 39172 = GCF of 39172 and 39164

Related Greatest Common Factor of 39164

Related Greatest Common Factor of 39172

Frequently Asked Questions on GCF of 39164 and 39172

1. What is the GCF of 39164 and 39172?

Answer: GCF of 39164 and 39172 is 4.

2. What are the Factors of 39164?

Answer: Factors of 39164 are 1, 2, 4, 9791, 19582, 39164. There are 6 integers that are factors of 39164. The greatest factor of 39164 is 39164.

3. What are the Factors of 39172?

Answer: Factors of 39172 are 1, 2, 4, 7, 14, 28, 1399, 2798, 5596, 9793, 19586, 39172. There are 12 integers that are factors of 39172. The greatest factor of 39172 is 39172.

4. How to Find the GCF of 39164 and 39172?

Answer:

Greatest Common Factor of 39164 and 39172 = 4

Step 1: Find the prime factorization of 39164

39164 = 2 x 2 x 9791

Step 2: Find the prime factorization of 39172

39172 = 2 x 2 x 7 x 1399

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 39164 and 39172 is 4