Greatest Common Factor of 1244 and 1252

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 1244, 1252 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1244 and 1252 is 4.

GCF(1244,1252) = 4

GCF of 1244 and 1252

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

GCF of:
and

Greatest Common Factor of 1244 and 1252

GCF of 1244 and 1252 is 4

Prime Factorization of 1244


2 1244
2 622
311 311
1

Prime factors of 1244 are 2,311. Prime factorization of 1244 in exponential form is:

1244 = 22×3111

Prime Factorization of 1252


2 1252
2 626
313 313
1

Prime factors of 1252 are 2,313. Prime factorization of 1252 in exponential form is:

1252 = 22×3131

∴ So by taking common prime factors GCF of 1244 and 1252 is 4

Greatest Common Factor of 1244 and 1252 by matching factors method

Factors of 1244

List of positive integer factors of 1244 that divides 1244 without a remainder.

1,2,4,311,622,1244

Factors of 1252

List of positive integer factors of 1252 that divides 1252 without a remainder.

1,2,4,313,626,1252

Greatest Common Factor

We found the factors and prime factorization of 1244 and 1252. The biggest common factor number is the GCF number.
So the greatest common factor 1244 and 1252 is 4.

Also check out the Least Common Multiple of 1244 and 1252

Properties of GCF 1244 and 1252

(i) The GCF of 1244 and 1252 is associative

GCF of 1244 and 1252 = GCF of 1252 and 1244

Related Greatest Common Factor of 1244

Related Greatest Common Factor of 1252

Frequently Asked Questions on GCF of 1244 and 1252

1. What is the GCF of 1244 and 1252?

Answer: GCF of 1244 and 1252 is 4.

2. What are the Factors of 1244?

Answer: Factors of 1244 are 1, 2, 4, 311, 622, 1244. There are 6 integers that are factors of 1244. The greatest factor of 1244 is 1244.

3. What are the Factors of 1252?

Answer: Factors of 1252 are 1, 2, 4, 313, 626, 1252. There are 6 integers that are factors of 1252. The greatest factor of 1252 is 1252.

4. How to Find the GCF of 1244 and 1252?

Answer:

Greatest Common Factor of 1244 and 1252 = 4

Step 1: Find the prime factorization of 1244

1244 = 2 x 2 x 311

Step 2: Find the prime factorization of 1252

1252 = 2 x 2 x 313

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 1244 and 1252 is 4