Greatest Common Factor of 31444 and 31448

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 31444, 31448 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31444 and 31448 is 4.

GCF(31444,31448) = 4

GCF of 31444 and 31448

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

GCF of:
and

Greatest Common Factor of 31444 and 31448

GCF of 31444 and 31448 is 4

Prime Factorization of 31444


2 31444
2 15722
7 7861
1123 1123
1

Prime factors of 31444 are 2,7,1123. Prime factorization of 31444 in exponential form is:

31444 = 22×71×11231

Prime Factorization of 31448


2 31448
2 15724
2 7862
3931 3931
1

Prime factors of 31448 are 2,3931. Prime factorization of 31448 in exponential form is:

31448 = 23×39311

∴ So by taking common prime factors GCF of 31444 and 31448 is 4

Greatest Common Factor of 31444 and 31448 by matching factors method

Factors of 31444

List of positive integer factors of 31444 that divides 31444 without a remainder.

1,2,4,7,14,28,1123,2246,4492,7861,15722,31444

Factors of 31448

List of positive integer factors of 31448 that divides 31448 without a remainder.

1,2,4,8,3931,7862,15724,31448

Greatest Common Factor

We found the factors and prime factorization of 31444 and 31448. The biggest common factor number is the GCF number.
So the greatest common factor 31444 and 31448 is 4.

Also check out the Least Common Multiple of 31444 and 31448

Properties of GCF 31444 and 31448

(i) The GCF of 31444 and 31448 is associative

GCF of 31444 and 31448 = GCF of 31448 and 31444

Related Greatest Common Factor of 31444

Related Greatest Common Factor of 31448

Frequently Asked Questions on GCF of 31444 and 31448

1. What is the GCF of 31444 and 31448?

Answer: GCF of 31444 and 31448 is 4.

2. What are the Factors of 31444?

Answer: Factors of 31444 are 1, 2, 4, 7, 14, 28, 1123, 2246, 4492, 7861, 15722, 31444. There are 12 integers that are factors of 31444. The greatest factor of 31444 is 31444.

3. What are the Factors of 31448?

Answer: Factors of 31448 are 1, 2, 4, 8, 3931, 7862, 15724, 31448. There are 8 integers that are factors of 31448. The greatest factor of 31448 is 31448.

4. How to Find the GCF of 31444 and 31448?

Answer:

Greatest Common Factor of 31444 and 31448 = 4

Step 1: Find the prime factorization of 31444

31444 = 2 x 2 x 7 x 1123

Step 2: Find the prime factorization of 31448

31448 = 2 x 2 x 2 x 3931

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 31444 and 31448 is 4