Greatest Common Factor of 1225 and 1232

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 1225, 1232 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1225 and 1232 is 7.

GCF(1225,1232) = 7

GCF of 1225 and 1232

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

GCF of:
and

Greatest Common Factor of 1225 and 1232

GCF of 1225 and 1232 is 7

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

Prime Factorization of 1232


2 1232
2 616
2 308
2 154
7 77
11 11
1

Prime factors of 1232 are 2,7,11. Prime factorization of 1232 in exponential form is:

1232 = 24×71×111

∴ So by taking common prime factors GCF of 1225 and 1232 is 7

Greatest Common Factor of 1225 and 1232 by matching factors method

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

Factors of 1232

List of positive integer factors of 1232 that divides 1232 without a remainder.

1,2,4,7,8,11,14,16,22,28,44,56,77,88,112,154,176,308,616,1232

Greatest Common Factor

We found the factors and prime factorization of 1225 and 1232. The biggest common factor number is the GCF number.
So the greatest common factor 1225 and 1232 is 7.

Also check out the Least Common Multiple of 1225 and 1232

Properties of GCF 1225 and 1232

(i) The GCF of 1225 and 1232 is associative

GCF of 1225 and 1232 = GCF of 1232 and 1225

Related Greatest Common Factor of 1225

Related Greatest Common Factor of 1232

Frequently Asked Questions on GCF of 1225 and 1232

1. What is the GCF of 1225 and 1232?

Answer: GCF of 1225 and 1232 is 7.

2. 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.

3. What are the Factors of 1232?

Answer: Factors of 1232 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 56, 77, 88, 112, 154, 176, 308, 616, 1232. There are 20 integers that are factors of 1232. The greatest factor of 1232 is 1232.

4. How to Find the GCF of 1225 and 1232?

Answer:

Greatest Common Factor of 1225 and 1232 = 7

Step 1: Find the prime factorization of 1225

1225 = 5 x 5 x 7 x 7

Step 2: Find the prime factorization of 1232

1232 = 2 x 2 x 2 x 2 x 7 x 11

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 1225 and 1232 is 7