Greatest Common Factor of 31512 and 31520

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 31512, 31520 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31512 and 31520 is 8.

GCF(31512,31520) = 8

GCF of 31512 and 31520

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

GCF of:
and

Greatest Common Factor of 31512 and 31520

GCF of 31512 and 31520 is 8

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

Prime Factorization of 31520


2 31520
2 15760
2 7880
2 3940
2 1970
5 985
197 197
1

Prime factors of 31520 are 2,5,197. Prime factorization of 31520 in exponential form is:

31520 = 25×51×1971

∴ So by taking common prime factors GCF of 31512 and 31520 is 8

Greatest Common Factor of 31512 and 31520 by matching factors method

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

Factors of 31520

List of positive integer factors of 31520 that divides 31520 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160,197,394,788,985,1576,1970,3152,3940,6304,7880,15760,31520

Greatest Common Factor

We found the factors and prime factorization of 31512 and 31520. The biggest common factor number is the GCF number.
So the greatest common factor 31512 and 31520 is 8.

Also check out the Least Common Multiple of 31512 and 31520

Properties of GCF 31512 and 31520

(i) The GCF of 31512 and 31520 is associative

GCF of 31512 and 31520 = GCF of 31520 and 31512

Related Greatest Common Factor of 31512

Related Greatest Common Factor of 31520

Frequently Asked Questions on GCF of 31512 and 31520

1. What is the GCF of 31512 and 31520?

Answer: GCF of 31512 and 31520 is 8.

2. 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.

3. What are the Factors of 31520?

Answer: Factors of 31520 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 197, 394, 788, 985, 1576, 1970, 3152, 3940, 6304, 7880, 15760, 31520. There are 24 integers that are factors of 31520. The greatest factor of 31520 is 31520.

4. How to Find the GCF of 31512 and 31520?

Answer:

Greatest Common Factor of 31512 and 31520 = 8

Step 1: Find the prime factorization of 31512

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

Step 2: Find the prime factorization of 31520

31520 = 2 x 2 x 2 x 2 x 2 x 5 x 197

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 31512 and 31520 is 8