Greatest Common Factor of 31500 and 31504

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 31500, 31504 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31500 and 31504 is 4.

GCF(31500,31504) = 4

GCF of 31500 and 31504

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

GCF of:
and

Greatest Common Factor of 31500 and 31504

GCF of 31500 and 31504 is 4

Prime Factorization of 31500


2 31500
2 15750
3 7875
3 2625
5 875
5 175
5 35
7 7
1

Prime factors of 31500 are 2,3,5,7. Prime factorization of 31500 in exponential form is:

31500 = 22×32×53×71

Prime Factorization of 31504


2 31504
2 15752
2 7876
2 3938
11 1969
179 179
1

Prime factors of 31504 are 2,11,179. Prime factorization of 31504 in exponential form is:

31504 = 24×111×1791

∴ So by taking common prime factors GCF of 31500 and 31504 is 4

Greatest Common Factor of 31500 and 31504 by matching factors method

Factors of 31500

List of positive integer factors of 31500 that divides 31500 without a remainder.

1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,25,28,30,35,36,42,45,50,60,63,70,75,84,90,100,105,125,126,140,150,175,180,210,225,250,252,300,315,350,375,420,450,500,525,630,700,750,875,900,1050,1125,1260,1500,1575,1750,2100,2250,2625,3150,3500,4500,5250,6300,7875,10500,15750,31500

Factors of 31504

List of positive integer factors of 31504 that divides 31504 without a remainder.

1,2,4,8,11,16,22,44,88,176,179,358,716,1432,1969,2864,3938,7876,15752,31504

Greatest Common Factor

We found the factors and prime factorization of 31500 and 31504. The biggest common factor number is the GCF number.
So the greatest common factor 31500 and 31504 is 4.

Also check out the Least Common Multiple of 31500 and 31504

Properties of GCF 31500 and 31504

(i) The GCF of 31500 and 31504 is associative

GCF of 31500 and 31504 = GCF of 31504 and 31500

Related Greatest Common Factor of 31500

Related Greatest Common Factor of 31504

Frequently Asked Questions on GCF of 31500 and 31504

1. What is the GCF of 31500 and 31504?

Answer: GCF of 31500 and 31504 is 4.

2. What are the Factors of 31500?

Answer: Factors of 31500 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 25, 28, 30, 35, 36, 42, 45, 50, 60, 63, 70, 75, 84, 90, 100, 105, 125, 126, 140, 150, 175, 180, 210, 225, 250, 252, 300, 315, 350, 375, 420, 450, 500, 525, 630, 700, 750, 875, 900, 1050, 1125, 1260, 1500, 1575, 1750, 2100, 2250, 2625, 3150, 3500, 4500, 5250, 6300, 7875, 10500, 15750, 31500. There are 72 integers that are factors of 31500. The greatest factor of 31500 is 31500.

3. What are the Factors of 31504?

Answer: Factors of 31504 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 179, 358, 716, 1432, 1969, 2864, 3938, 7876, 15752, 31504. There are 20 integers that are factors of 31504. The greatest factor of 31504 is 31504.

4. How to Find the GCF of 31500 and 31504?

Answer:

Greatest Common Factor of 31500 and 31504 = 4

Step 1: Find the prime factorization of 31500

31500 = 2 x 2 x 3 x 3 x 5 x 5 x 5 x 7

Step 2: Find the prime factorization of 31504

31504 = 2 x 2 x 2 x 2 x 11 x 179

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 31500 and 31504 is 4