Greatest Common Factor of 1214 and 1222

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 1214, 1222 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1214 and 1222 is 2.

GCF(1214,1222) = 2

GCF of 1214 and 1222

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

GCF of:
and

Greatest Common Factor of 1214 and 1222

GCF of 1214 and 1222 is 2

Prime Factorization of 1214


2 1214
607 607
1

Prime factors of 1214 are 2,607. Prime factorization of 1214 in exponential form is:

1214 = 21×6071

Prime Factorization of 1222


2 1222
13 611
47 47
1

Prime factors of 1222 are 2,13,47. Prime factorization of 1222 in exponential form is:

1222 = 21×131×471

∴ So by taking common prime factors GCF of 1214 and 1222 is 2

Greatest Common Factor of 1214 and 1222 by matching factors method

Factors of 1214

List of positive integer factors of 1214 that divides 1214 without a remainder.

1,2,607,1214

Factors of 1222

List of positive integer factors of 1222 that divides 1222 without a remainder.

1,2,13,26,47,94,611,1222

Greatest Common Factor

We found the factors and prime factorization of 1214 and 1222. The biggest common factor number is the GCF number.
So the greatest common factor 1214 and 1222 is 2.

Also check out the Least Common Multiple of 1214 and 1222

Properties of GCF 1214 and 1222

(i) The GCF of 1214 and 1222 is associative

GCF of 1214 and 1222 = GCF of 1222 and 1214

Related Greatest Common Factor of 1214

Related Greatest Common Factor of 1222

Frequently Asked Questions on GCF of 1214 and 1222

1. What is the GCF of 1214 and 1222?

Answer: GCF of 1214 and 1222 is 2.

2. What are the Factors of 1214?

Answer: Factors of 1214 are 1, 2, 607, 1214. There are 4 integers that are factors of 1214. The greatest factor of 1214 is 1214.

3. What are the Factors of 1222?

Answer: Factors of 1222 are 1, 2, 13, 26, 47, 94, 611, 1222. There are 8 integers that are factors of 1222. The greatest factor of 1222 is 1222.

4. How to Find the GCF of 1214 and 1222?

Answer:

Greatest Common Factor of 1214 and 1222 = 2

Step 1: Find the prime factorization of 1214

1214 = 2 x 607

Step 2: Find the prime factorization of 1222

1222 = 2 x 13 x 47

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 1214 and 1222 is 2