Greatest Common Factor of 5140 and 5148

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 5140, 5148 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5140 and 5148 is 4.

GCF(5140,5148) = 4

GCF of 5140 and 5148

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

GCF of:
and

Greatest Common Factor of 5140 and 5148

GCF of 5140 and 5148 is 4

Prime Factorization of 5140


2 5140
2 2570
5 1285
257 257
1

Prime factors of 5140 are 2,5,257. Prime factorization of 5140 in exponential form is:

5140 = 22×51×2571

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

∴ So by taking common prime factors GCF of 5140 and 5148 is 4

Greatest Common Factor of 5140 and 5148 by matching factors method

Factors of 5140

List of positive integer factors of 5140 that divides 5140 without a remainder.

1,2,4,5,10,20,257,514,1028,1285,2570,5140

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

Greatest Common Factor

We found the factors and prime factorization of 5140 and 5148. The biggest common factor number is the GCF number.
So the greatest common factor 5140 and 5148 is 4.

Also check out the Least Common Multiple of 5140 and 5148

Properties of GCF 5140 and 5148

(i) The GCF of 5140 and 5148 is associative

GCF of 5140 and 5148 = GCF of 5148 and 5140

Related Greatest Common Factor of 5140

Related Greatest Common Factor of 5148

Frequently Asked Questions on GCF of 5140 and 5148

1. What is the GCF of 5140 and 5148?

Answer: GCF of 5140 and 5148 is 4.

2. What are the Factors of 5140?

Answer: Factors of 5140 are 1, 2, 4, 5, 10, 20, 257, 514, 1028, 1285, 2570, 5140. There are 12 integers that are factors of 5140. The greatest factor of 5140 is 5140.

3. 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.

4. How to Find the GCF of 5140 and 5148?

Answer:

Greatest Common Factor of 5140 and 5148 = 4

Step 1: Find the prime factorization of 5140

5140 = 2 x 2 x 5 x 257

Step 2: Find the prime factorization of 5148

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

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 5140 and 5148 is 4