Greatest Common Factor of 5144 and 5150

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 5144, 5150 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5144 and 5150 is 2.

GCF(5144,5150) = 2

GCF of 5144 and 5150

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

GCF of:
and

Greatest Common Factor of 5144 and 5150

GCF of 5144 and 5150 is 2

Prime Factorization of 5144


2 5144
2 2572
2 1286
643 643
1

Prime factors of 5144 are 2,643. Prime factorization of 5144 in exponential form is:

5144 = 23×6431

Prime Factorization of 5150


2 5150
5 2575
5 515
103 103
1

Prime factors of 5150 are 2,5,103. Prime factorization of 5150 in exponential form is:

5150 = 21×52×1031

∴ So by taking common prime factors GCF of 5144 and 5150 is 2

Greatest Common Factor of 5144 and 5150 by matching factors method

Factors of 5144

List of positive integer factors of 5144 that divides 5144 without a remainder.

1,2,4,8,643,1286,2572,5144

Factors of 5150

List of positive integer factors of 5150 that divides 5150 without a remainder.

1,2,5,10,25,50,103,206,515,1030,2575,5150

Greatest Common Factor

We found the factors and prime factorization of 5144 and 5150. The biggest common factor number is the GCF number.
So the greatest common factor 5144 and 5150 is 2.

Also check out the Least Common Multiple of 5144 and 5150

Properties of GCF 5144 and 5150

(i) The GCF of 5144 and 5150 is associative

GCF of 5144 and 5150 = GCF of 5150 and 5144

Related Greatest Common Factor of 5144

Related Greatest Common Factor of 5150

Frequently Asked Questions on GCF of 5144 and 5150

1. What is the GCF of 5144 and 5150?

Answer: GCF of 5144 and 5150 is 2.

2. What are the Factors of 5144?

Answer: Factors of 5144 are 1, 2, 4, 8, 643, 1286, 2572, 5144. There are 8 integers that are factors of 5144. The greatest factor of 5144 is 5144.

3. What are the Factors of 5150?

Answer: Factors of 5150 are 1, 2, 5, 10, 25, 50, 103, 206, 515, 1030, 2575, 5150. There are 12 integers that are factors of 5150. The greatest factor of 5150 is 5150.

4. How to Find the GCF of 5144 and 5150?

Answer:

Greatest Common Factor of 5144 and 5150 = 2

Step 1: Find the prime factorization of 5144

5144 = 2 x 2 x 2 x 643

Step 2: Find the prime factorization of 5150

5150 = 2 x 5 x 5 x 103

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 5144 and 5150 is 2