Greatest Common Factor of 5124 and 5128

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 5124, 5128 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5124 and 5128 is 4.

GCF(5124,5128) = 4

GCF of 5124 and 5128

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

GCF of:
and

Greatest Common Factor of 5124 and 5128

GCF of 5124 and 5128 is 4

Prime Factorization of 5124


2 5124
2 2562
3 1281
7 427
61 61
1

Prime factors of 5124 are 2,3,7,61. Prime factorization of 5124 in exponential form is:

5124 = 22×31×71×611

Prime Factorization of 5128


2 5128
2 2564
2 1282
641 641
1

Prime factors of 5128 are 2,641. Prime factorization of 5128 in exponential form is:

5128 = 23×6411

∴ So by taking common prime factors GCF of 5124 and 5128 is 4

Greatest Common Factor of 5124 and 5128 by matching factors method

Factors of 5124

List of positive integer factors of 5124 that divides 5124 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,61,84,122,183,244,366,427,732,854,1281,1708,2562,5124

Factors of 5128

List of positive integer factors of 5128 that divides 5128 without a remainder.

1,2,4,8,641,1282,2564,5128

Greatest Common Factor

We found the factors and prime factorization of 5124 and 5128. The biggest common factor number is the GCF number.
So the greatest common factor 5124 and 5128 is 4.

Also check out the Least Common Multiple of 5124 and 5128

Properties of GCF 5124 and 5128

(i) The GCF of 5124 and 5128 is associative

GCF of 5124 and 5128 = GCF of 5128 and 5124

Related Greatest Common Factor of 5124

Related Greatest Common Factor of 5128

Frequently Asked Questions on GCF of 5124 and 5128

1. What is the GCF of 5124 and 5128?

Answer: GCF of 5124 and 5128 is 4.

2. What are the Factors of 5124?

Answer: Factors of 5124 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 61, 84, 122, 183, 244, 366, 427, 732, 854, 1281, 1708, 2562, 5124. There are 24 integers that are factors of 5124. The greatest factor of 5124 is 5124.

3. What are the Factors of 5128?

Answer: Factors of 5128 are 1, 2, 4, 8, 641, 1282, 2564, 5128. There are 8 integers that are factors of 5128. The greatest factor of 5128 is 5128.

4. How to Find the GCF of 5124 and 5128?

Answer:

Greatest Common Factor of 5124 and 5128 = 4

Step 1: Find the prime factorization of 5124

5124 = 2 x 2 x 3 x 7 x 61

Step 2: Find the prime factorization of 5128

5128 = 2 x 2 x 2 x 641

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 5124 and 5128 is 4