Greatest Common Factor of 4244 and 4250

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 4244, 4250 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4244 and 4250 is 2.

GCF(4244,4250) = 2

GCF of 4244 and 4250

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

GCF of:
and

Greatest Common Factor of 4244 and 4250

GCF of 4244 and 4250 is 2

Prime Factorization of 4244


2 4244
2 2122
1061 1061
1

Prime factors of 4244 are 2,1061. Prime factorization of 4244 in exponential form is:

4244 = 22×10611

Prime Factorization of 4250


2 4250
5 2125
5 425
5 85
17 17
1

Prime factors of 4250 are 2,5,17. Prime factorization of 4250 in exponential form is:

4250 = 21×53×171

∴ So by taking common prime factors GCF of 4244 and 4250 is 2

Greatest Common Factor of 4244 and 4250 by matching factors method

Factors of 4244

List of positive integer factors of 4244 that divides 4244 without a remainder.

1,2,4,1061,2122,4244

Factors of 4250

List of positive integer factors of 4250 that divides 4250 without a remainder.

1,2,5,10,17,25,34,50,85,125,170,250,425,850,2125,4250

Greatest Common Factor

We found the factors and prime factorization of 4244 and 4250. The biggest common factor number is the GCF number.
So the greatest common factor 4244 and 4250 is 2.

Also check out the Least Common Multiple of 4244 and 4250

Properties of GCF 4244 and 4250

(i) The GCF of 4244 and 4250 is associative

GCF of 4244 and 4250 = GCF of 4250 and 4244

Related Greatest Common Factor of 4244

Related Greatest Common Factor of 4250

Frequently Asked Questions on GCF of 4244 and 4250

1. What is the GCF of 4244 and 4250?

Answer: GCF of 4244 and 4250 is 2.

2. What are the Factors of 4244?

Answer: Factors of 4244 are 1, 2, 4, 1061, 2122, 4244. There are 6 integers that are factors of 4244. The greatest factor of 4244 is 4244.

3. What are the Factors of 4250?

Answer: Factors of 4250 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 125, 170, 250, 425, 850, 2125, 4250. There are 16 integers that are factors of 4250. The greatest factor of 4250 is 4250.

4. How to Find the GCF of 4244 and 4250?

Answer:

Greatest Common Factor of 4244 and 4250 = 2

Step 1: Find the prime factorization of 4244

4244 = 2 x 2 x 1061

Step 2: Find the prime factorization of 4250

4250 = 2 x 5 x 5 x 5 x 17

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 4244 and 4250 is 2