Greatest Common Factor of 310428 and 310436

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 310428, 310436 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 310428 and 310436 is 4.

GCF(310428,310436) = 4

GCF of 310428 and 310436

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

GCF of:
and

Greatest Common Factor of 310428 and 310436

GCF of 310428 and 310436 is 4

Prime Factorization of 310428


2 310428
2 155214
3 77607
3 25869
8623 8623
1

Prime factors of 310428 are 2,3,8623. Prime factorization of 310428 in exponential form is:

310428 = 22×32×86231

Prime Factorization of 310436


2 310436
2 155218
7 77609
11087 11087
1

Prime factors of 310436 are 2,7,11087. Prime factorization of 310436 in exponential form is:

310436 = 22×71×110871

∴ So by taking common prime factors GCF of 310428 and 310436 is 4

Greatest Common Factor of 310428 and 310436 by matching factors method

Factors of 310428

List of positive integer factors of 310428 that divides 310428 without a remainder.

1,2,3,4,6,9,12,18,36,8623,17246,25869,34492,51738,77607,103476,155214,310428

Factors of 310436

List of positive integer factors of 310436 that divides 310436 without a remainder.

1,2,4,7,14,28,11087,22174,44348,77609,155218,310436

Greatest Common Factor

We found the factors and prime factorization of 310428 and 310436. The biggest common factor number is the GCF number.
So the greatest common factor 310428 and 310436 is 4.

Also check out the Least Common Multiple of 310428 and 310436

Properties of GCF 310428 and 310436

(i) The GCF of 310428 and 310436 is associative

GCF of 310428 and 310436 = GCF of 310436 and 310428

Related Greatest Common Factor of 310428

Related Greatest Common Factor of 310436

Frequently Asked Questions on GCF of 310428 and 310436

1. What is the GCF of 310428 and 310436?

Answer: GCF of 310428 and 310436 is 4.

2. What are the Factors of 310428?

Answer: Factors of 310428 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 8623, 17246, 25869, 34492, 51738, 77607, 103476, 155214, 310428. There are 18 integers that are factors of 310428. The greatest factor of 310428 is 310428.

3. What are the Factors of 310436?

Answer: Factors of 310436 are 1, 2, 4, 7, 14, 28, 11087, 22174, 44348, 77609, 155218, 310436. There are 12 integers that are factors of 310436. The greatest factor of 310436 is 310436.

4. How to Find the GCF of 310428 and 310436?

Answer:

Greatest Common Factor of 310428 and 310436 = 4

Step 1: Find the prime factorization of 310428

310428 = 2 x 2 x 3 x 3 x 8623

Step 2: Find the prime factorization of 310436

310436 = 2 x 2 x 7 x 11087

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 310428 and 310436 is 4