Greatest Common Factor of 310442 and 310450

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 310442, 310450 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 310442 and 310450 is 2.

GCF(310442,310450) = 2

GCF of 310442 and 310450

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

GCF of:
and

Greatest Common Factor of 310442 and 310450

GCF of 310442 and 310450 is 2

Prime Factorization of 310442


2 310442
11 155221
103 14111
137 137
1

Prime factors of 310442 are 2,11,103,137. Prime factorization of 310442 in exponential form is:

310442 = 21×111×1031×1371

Prime Factorization of 310450


2 310450
5 155225
5 31045
7 6209
887 887
1

Prime factors of 310450 are 2,5,7,887. Prime factorization of 310450 in exponential form is:

310450 = 21×52×71×8871

∴ So by taking common prime factors GCF of 310442 and 310450 is 2

Greatest Common Factor of 310442 and 310450 by matching factors method

Factors of 310442

List of positive integer factors of 310442 that divides 310442 without a remainder.

1,2,11,22,103,137,206,274,1133,1507,2266,3014,14111,28222,155221,310442

Factors of 310450

List of positive integer factors of 310450 that divides 310450 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350,887,1774,4435,6209,8870,12418,22175,31045,44350,62090,155225,310450

Greatest Common Factor

We found the factors and prime factorization of 310442 and 310450. The biggest common factor number is the GCF number.
So the greatest common factor 310442 and 310450 is 2.

Also check out the Least Common Multiple of 310442 and 310450

Properties of GCF 310442 and 310450

(i) The GCF of 310442 and 310450 is associative

GCF of 310442 and 310450 = GCF of 310450 and 310442

Related Greatest Common Factor of 310442

Related Greatest Common Factor of 310450

Frequently Asked Questions on GCF of 310442 and 310450

1. What is the GCF of 310442 and 310450?

Answer: GCF of 310442 and 310450 is 2.

2. What are the Factors of 310442?

Answer: Factors of 310442 are 1, 2, 11, 22, 103, 137, 206, 274, 1133, 1507, 2266, 3014, 14111, 28222, 155221, 310442. There are 16 integers that are factors of 310442. The greatest factor of 310442 is 310442.

3. What are the Factors of 310450?

Answer: Factors of 310450 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350, 887, 1774, 4435, 6209, 8870, 12418, 22175, 31045, 44350, 62090, 155225, 310450. There are 24 integers that are factors of 310450. The greatest factor of 310450 is 310450.

4. How to Find the GCF of 310442 and 310450?

Answer:

Greatest Common Factor of 310442 and 310450 = 2

Step 1: Find the prime factorization of 310442

310442 = 2 x 11 x 103 x 137

Step 2: Find the prime factorization of 310450

310450 = 2 x 5 x 5 x 7 x 887

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

GCF = 2

Step 4: Therefore, the greatest common factor of 310442 and 310450 is 2