Greatest Common Factor of 31440 and 31444

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 31440, 31444 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31440 and 31444 is 4.

GCF(31440,31444) = 4

GCF of 31440 and 31444

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

GCF of:
and

Greatest Common Factor of 31440 and 31444

GCF of 31440 and 31444 is 4

Prime Factorization of 31440


2 31440
2 15720
2 7860
2 3930
3 1965
5 655
131 131
1

Prime factors of 31440 are 2,3,5,131. Prime factorization of 31440 in exponential form is:

31440 = 24×31×51×1311

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

∴ So by taking common prime factors GCF of 31440 and 31444 is 4

Greatest Common Factor of 31440 and 31444 by matching factors method

Factors of 31440

List of positive integer factors of 31440 that divides 31440 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,131,240,262,393,524,655,786,1048,1310,1572,1965,2096,2620,3144,3930,5240,6288,7860,10480,15720,31440

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

Greatest Common Factor

We found the factors and prime factorization of 31440 and 31444. The biggest common factor number is the GCF number.
So the greatest common factor 31440 and 31444 is 4.

Also check out the Least Common Multiple of 31440 and 31444

Properties of GCF 31440 and 31444

(i) The GCF of 31440 and 31444 is associative

GCF of 31440 and 31444 = GCF of 31444 and 31440

Related Greatest Common Factor of 31440

Related Greatest Common Factor of 31444

Frequently Asked Questions on GCF of 31440 and 31444

1. What is the GCF of 31440 and 31444?

Answer: GCF of 31440 and 31444 is 4.

2. What are the Factors of 31440?

Answer: Factors of 31440 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 131, 240, 262, 393, 524, 655, 786, 1048, 1310, 1572, 1965, 2096, 2620, 3144, 3930, 5240, 6288, 7860, 10480, 15720, 31440. There are 40 integers that are factors of 31440. The greatest factor of 31440 is 31440.

3. 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.

4. How to Find the GCF of 31440 and 31444?

Answer:

Greatest Common Factor of 31440 and 31444 = 4

Step 1: Find the prime factorization of 31440

31440 = 2 x 2 x 2 x 2 x 3 x 5 x 131

Step 2: Find the prime factorization of 31444

31444 = 2 x 2 x 7 x 1123

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 31440 and 31444 is 4