Greatest Common Factor of 1220 and 1224

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 1220, 1224 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1220 and 1224 is 4.

GCF(1220,1224) = 4

GCF of 1220 and 1224

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

GCF of:
and

Greatest Common Factor of 1220 and 1224

GCF of 1220 and 1224 is 4

Prime Factorization of 1220


2 1220
2 610
5 305
61 61
1

Prime factors of 1220 are 2,5,61. Prime factorization of 1220 in exponential form is:

1220 = 22×51×611

Prime Factorization of 1224


2 1224
2 612
2 306
3 153
3 51
17 17
1

Prime factors of 1224 are 2,3,17. Prime factorization of 1224 in exponential form is:

1224 = 23×32×171

∴ So by taking common prime factors GCF of 1220 and 1224 is 4

Greatest Common Factor of 1220 and 1224 by matching factors method

Factors of 1220

List of positive integer factors of 1220 that divides 1220 without a remainder.

1,2,4,5,10,20,61,122,244,305,610,1220

Factors of 1224

List of positive integer factors of 1224 that divides 1224 without a remainder.

1,2,3,4,6,8,9,12,17,18,24,34,36,51,68,72,102,136,153,204,306,408,612,1224

Greatest Common Factor

We found the factors and prime factorization of 1220 and 1224. The biggest common factor number is the GCF number.
So the greatest common factor 1220 and 1224 is 4.

Also check out the Least Common Multiple of 1220 and 1224

Properties of GCF 1220 and 1224

(i) The GCF of 1220 and 1224 is associative

GCF of 1220 and 1224 = GCF of 1224 and 1220

Related Greatest Common Factor of 1220

Related Greatest Common Factor of 1224

Frequently Asked Questions on GCF of 1220 and 1224

1. What is the GCF of 1220 and 1224?

Answer: GCF of 1220 and 1224 is 4.

2. What are the Factors of 1220?

Answer: Factors of 1220 are 1, 2, 4, 5, 10, 20, 61, 122, 244, 305, 610, 1220. There are 12 integers that are factors of 1220. The greatest factor of 1220 is 1220.

3. What are the Factors of 1224?

Answer: Factors of 1224 are 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 306, 408, 612, 1224. There are 24 integers that are factors of 1224. The greatest factor of 1224 is 1224.

4. How to Find the GCF of 1220 and 1224?

Answer:

Greatest Common Factor of 1220 and 1224 = 4

Step 1: Find the prime factorization of 1220

1220 = 2 x 2 x 5 x 61

Step 2: Find the prime factorization of 1224

1224 = 2 x 2 x 2 x 3 x 3 x 17

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 1220 and 1224 is 4