Greatest Common Factor of 5148 and 5155

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 5148, 5155 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5148 and 5155 is 1.

GCF(5148,5155) = 1

GCF of 5148 and 5155

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

GCF of:
and

Greatest Common Factor of 5148 and 5155

GCF of 5148 and 5155 is 1

Prime Factorization of 5148


2 5148
2 2574
3 1287
3 429
11 143
13 13
1

Prime factors of 5148 are 2,3,11,13. Prime factorization of 5148 in exponential form is:

5148 = 22×32×111×131

Prime Factorization of 5155


5 5155
1031 1031
1

Prime factors of 5155 are 5,1031. Prime factorization of 5155 in exponential form is:

5155 = 51×10311

∴ So by taking common prime factors GCF of 5148 and 5155 is 1

Greatest Common Factor of 5148 and 5155 by matching factors method

Factors of 5148

List of positive integer factors of 5148 that divides 5148 without a remainder.

1,2,3,4,6,9,11,12,13,18,22,26,33,36,39,44,52,66,78,99,117,132,143,156,198,234,286,396,429,468,572,858,1287,1716,2574,5148

Factors of 5155

List of positive integer factors of 5155 that divides 5155 without a remainder.

1,5,1031,5155

Greatest Common Factor

We found the factors and prime factorization of 5148 and 5155. The biggest common factor number is the GCF number.
So the greatest common factor 5148 and 5155 is 1.

Also check out the Least Common Multiple of 5148 and 5155

Properties of GCF 5148 and 5155

(i) The GCF of 5148 and 5155 is associative

GCF of 5148 and 5155 = GCF of 5155 and 5148

Related Greatest Common Factor of 5148

Related Greatest Common Factor of 5155

Frequently Asked Questions on GCF of 5148 and 5155

1. What is the GCF of 5148 and 5155?

Answer: GCF of 5148 and 5155 is 1.

2. What are the Factors of 5148?

Answer: Factors of 5148 are 1, 2, 3, 4, 6, 9, 11, 12, 13, 18, 22, 26, 33, 36, 39, 44, 52, 66, 78, 99, 117, 132, 143, 156, 198, 234, 286, 396, 429, 468, 572, 858, 1287, 1716, 2574, 5148. There are 36 integers that are factors of 5148. The greatest factor of 5148 is 5148.

3. What are the Factors of 5155?

Answer: Factors of 5155 are 1, 5, 1031, 5155. There are 4 integers that are factors of 5155. The greatest factor of 5155 is 5155.

4. How to Find the GCF of 5148 and 5155?

Answer:

Greatest Common Factor of 5148 and 5155 = 1

Step 1: Find the prime factorization of 5148

5148 = 2 x 2 x 3 x 3 x 11 x 13

Step 2: Find the prime factorization of 5155

5155 = 5 x 1031

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 5148 and 5155 is 1