Greatest Common Factor of 31424 and 31428

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 31424, 31428 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31424 and 31428 is 4.

GCF(31424,31428) = 4

GCF of 31424 and 31428

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

GCF of:
and

Greatest Common Factor of 31424 and 31428

GCF of 31424 and 31428 is 4

Prime Factorization of 31424


2 31424
2 15712
2 7856
2 3928
2 1964
2 982
491 491
1

Prime factors of 31424 are 2,491. Prime factorization of 31424 in exponential form is:

31424 = 26×4911

Prime Factorization of 31428


2 31428
2 15714
3 7857
3 2619
3 873
3 291
97 97
1

Prime factors of 31428 are 2,3,97. Prime factorization of 31428 in exponential form is:

31428 = 22×34×971

∴ So by taking common prime factors GCF of 31424 and 31428 is 4

Greatest Common Factor of 31424 and 31428 by matching factors method

Factors of 31424

List of positive integer factors of 31424 that divides 31424 without a remainder.

1,2,4,8,16,32,64,491,982,1964,3928,7856,15712,31424

Factors of 31428

List of positive integer factors of 31428 that divides 31428 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,97,108,162,194,291,324,388,582,873,1164,1746,2619,3492,5238,7857,10476,15714,31428

Greatest Common Factor

We found the factors and prime factorization of 31424 and 31428. The biggest common factor number is the GCF number.
So the greatest common factor 31424 and 31428 is 4.

Also check out the Least Common Multiple of 31424 and 31428

Properties of GCF 31424 and 31428

(i) The GCF of 31424 and 31428 is associative

GCF of 31424 and 31428 = GCF of 31428 and 31424

Related Greatest Common Factor of 31424

Related Greatest Common Factor of 31428

Frequently Asked Questions on GCF of 31424 and 31428

1. What is the GCF of 31424 and 31428?

Answer: GCF of 31424 and 31428 is 4.

2. What are the Factors of 31424?

Answer: Factors of 31424 are 1, 2, 4, 8, 16, 32, 64, 491, 982, 1964, 3928, 7856, 15712, 31424. There are 14 integers that are factors of 31424. The greatest factor of 31424 is 31424.

3. What are the Factors of 31428?

Answer: Factors of 31428 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 97, 108, 162, 194, 291, 324, 388, 582, 873, 1164, 1746, 2619, 3492, 5238, 7857, 10476, 15714, 31428. There are 30 integers that are factors of 31428. The greatest factor of 31428 is 31428.

4. How to Find the GCF of 31424 and 31428?

Answer:

Greatest Common Factor of 31424 and 31428 = 4

Step 1: Find the prime factorization of 31424

31424 = 2 x 2 x 2 x 2 x 2 x 2 x 491

Step 2: Find the prime factorization of 31428

31428 = 2 x 2 x 3 x 3 x 3 x 3 x 97

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 31424 and 31428 is 4