Greatest Common Factor of 31436 and 31440

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 31436, 31440 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31436 and 31440 is 4.

GCF(31436,31440) = 4

GCF of 31436 and 31440

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

GCF of:
and

Greatest Common Factor of 31436 and 31440

GCF of 31436 and 31440 is 4

Prime Factorization of 31436


2 31436
2 15718
29 7859
271 271
1

Prime factors of 31436 are 2,29,271. Prime factorization of 31436 in exponential form is:

31436 = 22×291×2711

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

∴ So by taking common prime factors GCF of 31436 and 31440 is 4

Greatest Common Factor of 31436 and 31440 by matching factors method

Factors of 31436

List of positive integer factors of 31436 that divides 31436 without a remainder.

1,2,4,29,58,116,271,542,1084,7859,15718,31436

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

Greatest Common Factor

We found the factors and prime factorization of 31436 and 31440. The biggest common factor number is the GCF number.
So the greatest common factor 31436 and 31440 is 4.

Also check out the Least Common Multiple of 31436 and 31440

Properties of GCF 31436 and 31440

(i) The GCF of 31436 and 31440 is associative

GCF of 31436 and 31440 = GCF of 31440 and 31436

Related Greatest Common Factor of 31436

Related Greatest Common Factor of 31440

Frequently Asked Questions on GCF of 31436 and 31440

1. What is the GCF of 31436 and 31440?

Answer: GCF of 31436 and 31440 is 4.

2. What are the Factors of 31436?

Answer: Factors of 31436 are 1, 2, 4, 29, 58, 116, 271, 542, 1084, 7859, 15718, 31436. There are 12 integers that are factors of 31436. The greatest factor of 31436 is 31436.

3. 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.

4. How to Find the GCF of 31436 and 31440?

Answer:

Greatest Common Factor of 31436 and 31440 = 4

Step 1: Find the prime factorization of 31436

31436 = 2 x 2 x 29 x 271

Step 2: Find the prime factorization of 31440

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

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 31436 and 31440 is 4