Greatest Common Factor of 31504 and 31512

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 31504, 31512 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31504 and 31512 is 8.

GCF(31504,31512) = 8

GCF of 31504 and 31512

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

GCF of:
and

Greatest Common Factor of 31504 and 31512

GCF of 31504 and 31512 is 8

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

Prime Factorization of 31512


2 31512
2 15756
2 7878
3 3939
13 1313
101 101
1

Prime factors of 31512 are 2,3,13,101. Prime factorization of 31512 in exponential form is:

31512 = 23×31×131×1011

∴ So by taking common prime factors GCF of 31504 and 31512 is 8

Greatest Common Factor of 31504 and 31512 by matching factors method

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

Factors of 31512

List of positive integer factors of 31512 that divides 31512 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,101,104,156,202,303,312,404,606,808,1212,1313,2424,2626,3939,5252,7878,10504,15756,31512

Greatest Common Factor

We found the factors and prime factorization of 31504 and 31512. The biggest common factor number is the GCF number.
So the greatest common factor 31504 and 31512 is 8.

Also check out the Least Common Multiple of 31504 and 31512

Properties of GCF 31504 and 31512

(i) The GCF of 31504 and 31512 is associative

GCF of 31504 and 31512 = GCF of 31512 and 31504

Related Greatest Common Factor of 31504

Related Greatest Common Factor of 31512

Frequently Asked Questions on GCF of 31504 and 31512

1. What is the GCF of 31504 and 31512?

Answer: GCF of 31504 and 31512 is 8.

2. 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.

3. What are the Factors of 31512?

Answer: Factors of 31512 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 101, 104, 156, 202, 303, 312, 404, 606, 808, 1212, 1313, 2424, 2626, 3939, 5252, 7878, 10504, 15756, 31512. There are 32 integers that are factors of 31512. The greatest factor of 31512 is 31512.

4. How to Find the GCF of 31504 and 31512?

Answer:

Greatest Common Factor of 31504 and 31512 = 8

Step 1: Find the prime factorization of 31504

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

Step 2: Find the prime factorization of 31512

31512 = 2 x 2 x 2 x 3 x 13 x 101

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 31504 and 31512 is 8