Greatest Common Factor of 5152 and 5156

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 5152, 5156 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5152 and 5156 is 4.

GCF(5152,5156) = 4

GCF of 5152 and 5156

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

GCF of:
and

Greatest Common Factor of 5152 and 5156

GCF of 5152 and 5156 is 4

Prime Factorization of 5152


2 5152
2 2576
2 1288
2 644
2 322
7 161
23 23
1

Prime factors of 5152 are 2,7,23. Prime factorization of 5152 in exponential form is:

5152 = 25×71×231

Prime Factorization of 5156


2 5156
2 2578
1289 1289
1

Prime factors of 5156 are 2,1289. Prime factorization of 5156 in exponential form is:

5156 = 22×12891

∴ So by taking common prime factors GCF of 5152 and 5156 is 4

Greatest Common Factor of 5152 and 5156 by matching factors method

Factors of 5152

List of positive integer factors of 5152 that divides 5152 without a remainder.

1,2,4,7,8,14,16,23,28,32,46,56,92,112,161,184,224,322,368,644,736,1288,2576,5152

Factors of 5156

List of positive integer factors of 5156 that divides 5156 without a remainder.

1,2,4,1289,2578,5156

Greatest Common Factor

We found the factors and prime factorization of 5152 and 5156. The biggest common factor number is the GCF number.
So the greatest common factor 5152 and 5156 is 4.

Also check out the Least Common Multiple of 5152 and 5156

Properties of GCF 5152 and 5156

(i) The GCF of 5152 and 5156 is associative

GCF of 5152 and 5156 = GCF of 5156 and 5152

Related Greatest Common Factor of 5152

Related Greatest Common Factor of 5156

Frequently Asked Questions on GCF of 5152 and 5156

1. What is the GCF of 5152 and 5156?

Answer: GCF of 5152 and 5156 is 4.

2. What are the Factors of 5152?

Answer: Factors of 5152 are 1, 2, 4, 7, 8, 14, 16, 23, 28, 32, 46, 56, 92, 112, 161, 184, 224, 322, 368, 644, 736, 1288, 2576, 5152. There are 24 integers that are factors of 5152. The greatest factor of 5152 is 5152.

3. What are the Factors of 5156?

Answer: Factors of 5156 are 1, 2, 4, 1289, 2578, 5156. There are 6 integers that are factors of 5156. The greatest factor of 5156 is 5156.

4. How to Find the GCF of 5152 and 5156?

Answer:

Greatest Common Factor of 5152 and 5156 = 4

Step 1: Find the prime factorization of 5152

5152 = 2 x 2 x 2 x 2 x 2 x 7 x 23

Step 2: Find the prime factorization of 5156

5156 = 2 x 2 x 1289

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 5152 and 5156 is 4