Greatest Common Factor of 1210 and 1216

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 1210, 1216 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1210 and 1216 is 2.

GCF(1210,1216) = 2

GCF of 1210 and 1216

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

GCF of:
and

Greatest Common Factor of 1210 and 1216

GCF of 1210 and 1216 is 2

Prime Factorization of 1210


2 1210
5 605
11 121
11 11
1

Prime factors of 1210 are 2,5,11. Prime factorization of 1210 in exponential form is:

1210 = 21×51×112

Prime Factorization of 1216


2 1216
2 608
2 304
2 152
2 76
2 38
19 19
1

Prime factors of 1216 are 2,19. Prime factorization of 1216 in exponential form is:

1216 = 26×191

∴ So by taking common prime factors GCF of 1210 and 1216 is 2

Greatest Common Factor of 1210 and 1216 by matching factors method

Factors of 1210

List of positive integer factors of 1210 that divides 1210 without a remainder.

1,2,5,10,11,22,55,110,121,242,605,1210

Factors of 1216

List of positive integer factors of 1216 that divides 1216 without a remainder.

1,2,4,8,16,19,32,38,64,76,152,304,608,1216

Greatest Common Factor

We found the factors and prime factorization of 1210 and 1216. The biggest common factor number is the GCF number.
So the greatest common factor 1210 and 1216 is 2.

Also check out the Least Common Multiple of 1210 and 1216

Properties of GCF 1210 and 1216

(i) The GCF of 1210 and 1216 is associative

GCF of 1210 and 1216 = GCF of 1216 and 1210

Related Greatest Common Factor of 1210

Related Greatest Common Factor of 1216

Frequently Asked Questions on GCF of 1210 and 1216

1. What is the GCF of 1210 and 1216?

Answer: GCF of 1210 and 1216 is 2.

2. What are the Factors of 1210?

Answer: Factors of 1210 are 1, 2, 5, 10, 11, 22, 55, 110, 121, 242, 605, 1210. There are 12 integers that are factors of 1210. The greatest factor of 1210 is 1210.

3. What are the Factors of 1216?

Answer: Factors of 1216 are 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 152, 304, 608, 1216. There are 14 integers that are factors of 1216. The greatest factor of 1216 is 1216.

4. How to Find the GCF of 1210 and 1216?

Answer:

Greatest Common Factor of 1210 and 1216 = 2

Step 1: Find the prime factorization of 1210

1210 = 2 x 5 x 11 x 11

Step 2: Find the prime factorization of 1216

1216 = 2 x 2 x 2 x 2 x 2 x 2 x 19

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 1210 and 1216 is 2