Greatest Common Factor of 31496 and 31500

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 31496, 31500 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31496 and 31500 is 4.

GCF(31496,31500) = 4

GCF of 31496 and 31500

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

GCF of:
and

Greatest Common Factor of 31496 and 31500

GCF of 31496 and 31500 is 4

Prime Factorization of 31496


2 31496
2 15748
2 7874
31 3937
127 127
1

Prime factors of 31496 are 2,31,127. Prime factorization of 31496 in exponential form is:

31496 = 23×311×1271

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

∴ So by taking common prime factors GCF of 31496 and 31500 is 4

Greatest Common Factor of 31496 and 31500 by matching factors method

Factors of 31496

List of positive integer factors of 31496 that divides 31496 without a remainder.

1,2,4,8,31,62,124,127,248,254,508,1016,3937,7874,15748,31496

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

Greatest Common Factor

We found the factors and prime factorization of 31496 and 31500. The biggest common factor number is the GCF number.
So the greatest common factor 31496 and 31500 is 4.

Also check out the Least Common Multiple of 31496 and 31500

Properties of GCF 31496 and 31500

(i) The GCF of 31496 and 31500 is associative

GCF of 31496 and 31500 = GCF of 31500 and 31496

Related Greatest Common Factor of 31496

Related Greatest Common Factor of 31500

Frequently Asked Questions on GCF of 31496 and 31500

1. What is the GCF of 31496 and 31500?

Answer: GCF of 31496 and 31500 is 4.

2. What are the Factors of 31496?

Answer: Factors of 31496 are 1, 2, 4, 8, 31, 62, 124, 127, 248, 254, 508, 1016, 3937, 7874, 15748, 31496. There are 16 integers that are factors of 31496. The greatest factor of 31496 is 31496.

3. 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.

4. How to Find the GCF of 31496 and 31500?

Answer:

Greatest Common Factor of 31496 and 31500 = 4

Step 1: Find the prime factorization of 31496

31496 = 2 x 2 x 2 x 31 x 127

Step 2: Find the prime factorization of 31500

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

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 31496 and 31500 is 4