Greatest Common Factor of 31444 and 31450

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 31444, 31450 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31444 and 31450 is 2.

GCF(31444,31450) = 2

GCF of 31444 and 31450

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

GCF of:
and

Greatest Common Factor of 31444 and 31450

GCF of 31444 and 31450 is 2

Prime Factorization of 31444


2 31444
2 15722
7 7861
1123 1123
1

Prime factors of 31444 are 2,7,1123. Prime factorization of 31444 in exponential form is:

31444 = 22×71×11231

Prime Factorization of 31450


2 31450
5 15725
5 3145
17 629
37 37
1

Prime factors of 31450 are 2,5,17,37. Prime factorization of 31450 in exponential form is:

31450 = 21×52×171×371

∴ So by taking common prime factors GCF of 31444 and 31450 is 2

Greatest Common Factor of 31444 and 31450 by matching factors method

Factors of 31444

List of positive integer factors of 31444 that divides 31444 without a remainder.

1,2,4,7,14,28,1123,2246,4492,7861,15722,31444

Factors of 31450

List of positive integer factors of 31450 that divides 31450 without a remainder.

1,2,5,10,17,25,34,37,50,74,85,170,185,370,425,629,850,925,1258,1850,3145,6290,15725,31450

Greatest Common Factor

We found the factors and prime factorization of 31444 and 31450. The biggest common factor number is the GCF number.
So the greatest common factor 31444 and 31450 is 2.

Also check out the Least Common Multiple of 31444 and 31450

Properties of GCF 31444 and 31450

(i) The GCF of 31444 and 31450 is associative

GCF of 31444 and 31450 = GCF of 31450 and 31444

Related Greatest Common Factor of 31444

Related Greatest Common Factor of 31450

Frequently Asked Questions on GCF of 31444 and 31450

1. What is the GCF of 31444 and 31450?

Answer: GCF of 31444 and 31450 is 2.

2. What are the Factors of 31444?

Answer: Factors of 31444 are 1, 2, 4, 7, 14, 28, 1123, 2246, 4492, 7861, 15722, 31444. There are 12 integers that are factors of 31444. The greatest factor of 31444 is 31444.

3. What are the Factors of 31450?

Answer: Factors of 31450 are 1, 2, 5, 10, 17, 25, 34, 37, 50, 74, 85, 170, 185, 370, 425, 629, 850, 925, 1258, 1850, 3145, 6290, 15725, 31450. There are 24 integers that are factors of 31450. The greatest factor of 31450 is 31450.

4. How to Find the GCF of 31444 and 31450?

Answer:

Greatest Common Factor of 31444 and 31450 = 2

Step 1: Find the prime factorization of 31444

31444 = 2 x 2 x 7 x 1123

Step 2: Find the prime factorization of 31450

31450 = 2 x 5 x 5 x 17 x 37

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 31444 and 31450 is 2