Greatest Common Factor of 156 and 164

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 156, 164 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 156 and 164 is 4.

GCF(156,164) = 4

GCF of 156 and 164

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

GCF of:
and

Greatest Common Factor of 156 and 164

GCF of 156 and 164 is 4

Prime Factorization of 156


2 156
2 78
3 39
13 13
1

Prime factors of 156 are 2,3,13. Prime factorization of 156 in exponential form is:

156 = 22×31×131

Prime Factorization of 164


2 164
2 82
41 41
1

Prime factors of 164 are 2,41. Prime factorization of 164 in exponential form is:

164 = 22×411

∴ So by taking common prime factors GCF of 156 and 164 is 4

Greatest Common Factor of 156 and 164 by matching factors method

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors and prime factorization of 156 and 164. The biggest common factor number is the GCF number.
So the greatest common factor 156 and 164 is 4.

Also check out the Least Common Multiple of 156 and 164

Properties of GCF 156 and 164

(i) The GCF of 156 and 164 is associative

GCF of 156 and 164 = GCF of 164 and 156

Related Greatest Common Factor of 156

Related Greatest Common Factor of 164

Frequently Asked Questions on GCF of 156 and 164

1. What is the GCF of 156 and 164?

Answer: GCF of 156 and 164 is 4.

2. What are the Factors of 156?

Answer: Factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156. There are 12 integers that are factors of 156. The greatest factor of 156 is 156.

3. What are the Factors of 164?

Answer: Factors of 164 are 1, 2, 4, 41, 82, 164. There are 6 integers that are factors of 164. The greatest factor of 164 is 164.

4. How to Find the GCF of 156 and 164?

Answer:

Greatest Common Factor of 156 and 164 = 4

Step 1: Find the prime factorization of 156

156 = 2 x 2 x 3 x 13

Step 2: Find the prime factorization of 164

164 = 2 x 2 x 41

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 156 and 164 is 4