Greatest Common Factor of 1218 and 1225

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 1218, 1225 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1218 and 1225 is 7.

GCF(1218,1225) = 7

GCF of 1218 and 1225

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

GCF of:
and

Greatest Common Factor of 1218 and 1225

GCF of 1218 and 1225 is 7

Prime Factorization of 1218


2 1218
3 609
7 203
29 29
1

Prime factors of 1218 are 2,3,7,29. Prime factorization of 1218 in exponential form is:

1218 = 21×31×71×291

Prime Factorization of 1225


5 1225
5 245
7 49
7 7
1

Prime factors of 1225 are 5,7. Prime factorization of 1225 in exponential form is:

1225 = 52×72

∴ So by taking common prime factors GCF of 1218 and 1225 is 7

Greatest Common Factor of 1218 and 1225 by matching factors method

Factors of 1218

List of positive integer factors of 1218 that divides 1218 without a remainder.

1,2,3,6,7,14,21,29,42,58,87,174,203,406,609,1218

Factors of 1225

List of positive integer factors of 1225 that divides 1225 without a remainder.

1,5,7,25,35,49,175,245,1225

Greatest Common Factor

We found the factors and prime factorization of 1218 and 1225. The biggest common factor number is the GCF number.
So the greatest common factor 1218 and 1225 is 7.

Also check out the Least Common Multiple of 1218 and 1225

Properties of GCF 1218 and 1225

(i) The GCF of 1218 and 1225 is associative

GCF of 1218 and 1225 = GCF of 1225 and 1218

Related Greatest Common Factor of 1218

Related Greatest Common Factor of 1225

Frequently Asked Questions on GCF of 1218 and 1225

1. What is the GCF of 1218 and 1225?

Answer: GCF of 1218 and 1225 is 7.

2. What are the Factors of 1218?

Answer: Factors of 1218 are 1, 2, 3, 6, 7, 14, 21, 29, 42, 58, 87, 174, 203, 406, 609, 1218. There are 16 integers that are factors of 1218. The greatest factor of 1218 is 1218.

3. What are the Factors of 1225?

Answer: Factors of 1225 are 1, 5, 7, 25, 35, 49, 175, 245, 1225. There are 9 integers that are factors of 1225. The greatest factor of 1225 is 1225.

4. How to Find the GCF of 1218 and 1225?

Answer:

Greatest Common Factor of 1218 and 1225 = 7

Step 1: Find the prime factorization of 1218

1218 = 2 x 3 x 7 x 29

Step 2: Find the prime factorization of 1225

1225 = 5 x 5 x 7 x 7

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 1218 and 1225 is 7