Greatest Common Factor of 5210 and 5216

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 5210, 5216 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5210 and 5216 is 2.

GCF(5210,5216) = 2

GCF of 5210 and 5216

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

GCF of:
and

Greatest Common Factor of 5210 and 5216

GCF of 5210 and 5216 is 2

Prime Factorization of 5210


2 5210
5 2605
521 521
1

Prime factors of 5210 are 2,5,521. Prime factorization of 5210 in exponential form is:

5210 = 21×51×5211

Prime Factorization of 5216


2 5216
2 2608
2 1304
2 652
2 326
163 163
1

Prime factors of 5216 are 2,163. Prime factorization of 5216 in exponential form is:

5216 = 25×1631

∴ So by taking common prime factors GCF of 5210 and 5216 is 2

Greatest Common Factor of 5210 and 5216 by matching factors method

Factors of 5210

List of positive integer factors of 5210 that divides 5210 without a remainder.

1,2,5,10,521,1042,2605,5210

Factors of 5216

List of positive integer factors of 5216 that divides 5216 without a remainder.

1,2,4,8,16,32,163,326,652,1304,2608,5216

Greatest Common Factor

We found the factors and prime factorization of 5210 and 5216. The biggest common factor number is the GCF number.
So the greatest common factor 5210 and 5216 is 2.

Also check out the Least Common Multiple of 5210 and 5216

Properties of GCF 5210 and 5216

(i) The GCF of 5210 and 5216 is associative

GCF of 5210 and 5216 = GCF of 5216 and 5210

Related Greatest Common Factor of 5210

Related Greatest Common Factor of 5216

Frequently Asked Questions on GCF of 5210 and 5216

1. What is the GCF of 5210 and 5216?

Answer: GCF of 5210 and 5216 is 2.

2. What are the Factors of 5210?

Answer: Factors of 5210 are 1, 2, 5, 10, 521, 1042, 2605, 5210. There are 8 integers that are factors of 5210. The greatest factor of 5210 is 5210.

3. What are the Factors of 5216?

Answer: Factors of 5216 are 1, 2, 4, 8, 16, 32, 163, 326, 652, 1304, 2608, 5216. There are 12 integers that are factors of 5216. The greatest factor of 5216 is 5216.

4. How to Find the GCF of 5210 and 5216?

Answer:

Greatest Common Factor of 5210 and 5216 = 2

Step 1: Find the prime factorization of 5210

5210 = 2 x 5 x 521

Step 2: Find the prime factorization of 5216

5216 = 2 x 2 x 2 x 2 x 2 x 163

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 5210 and 5216 is 2