Greatest Common Factor of 1213 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 1213, 1216 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1213 and 1216 is 1.

GCF(1213,1216) = 1

GCF of 1213 and 1216

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

GCF of:
and

Greatest Common Factor of 1213 and 1216

GCF of 1213 and 1216 is 1

Prime Factorization of 1213


1213 1213
1

Prime factors of 1213 are 1213. Prime factorization of 1213 in exponential form is:

1213 = 12131

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.Prime factorization of 1216 in exponential form is:

1216 = 26×191

∴ So by taking common prime factors GCF of 1213 and 1216 is 1

Greatest Common Factor of 1213 and 1216 by matching factors method

Factors of 1213

List of positive integer factors of 1213 that divides 1213 without a remainder.

1,1213

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 1213 and 1216. The biggest common factor number is the GCF number.
So the greatest common factor 1213 and 1216 is 1.

Also check out the Least Common Multiple of 1213 and 1216

Properties of GCF 1213 and 1216

(i) The GCF of 1213 and 1216 is associative

GCF of 1213 and 1216 = GCF of 1216 and 1213

Related Greatest Common Factor of 1213

Related Greatest Common Factor of 1216

Frequently Asked Questions on GCF of 1213 and 1216

1. What is the GCF of 1213 and 1216?

Answer: GCF of 1213 and 1216 is 1.

2. What are the Factors of 1213?

Answer: Factors of 1213 are 1, 1213. There are 2 integers that are factors of 1213. The greatest factor of 1213 is 1213.

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 1213 and 1216?

Answer:

Greatest Common Factor of 1213 and 1216 = 1

Step 1: Find the prime factorization of 1213

1213 = 1213

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 = = 1

Step 4: Therefore, the greatest common factor of 1213 and 1216 is 1