Greatest Common Factor of 1238 and 1240

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 1238, 1240 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1238 and 1240 is 2.

GCF(1238,1240) = 2

GCF of 1238 and 1240

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

GCF of:
and

Greatest Common Factor of 1238 and 1240

GCF of 1238 and 1240 is 2

Prime Factorization of 1238


2 1238
619 619
1

Prime factors of 1238 are 2,619. Prime factorization of 1238 in exponential form is:

1238 = 21×6191

Prime Factorization of 1240


2 1240
2 620
2 310
5 155
31 31
1

Prime factors of 1240 are 2,5,31. Prime factorization of 1240 in exponential form is:

1240 = 23×51×311

∴ So by taking common prime factors GCF of 1238 and 1240 is 2

Greatest Common Factor of 1238 and 1240 by matching factors method

Factors of 1238

List of positive integer factors of 1238 that divides 1238 without a remainder.

1,2,619,1238

Factors of 1240

List of positive integer factors of 1240 that divides 1240 without a remainder.

1,2,4,5,8,10,20,31,40,62,124,155,248,310,620,1240

Greatest Common Factor

We found the factors and prime factorization of 1238 and 1240. The biggest common factor number is the GCF number.
So the greatest common factor 1238 and 1240 is 2.

Also check out the Least Common Multiple of 1238 and 1240

Properties of GCF 1238 and 1240

(i) The GCF of 1238 and 1240 is associative

GCF of 1238 and 1240 = GCF of 1240 and 1238

Related Greatest Common Factor of 1238

Related Greatest Common Factor of 1240

Frequently Asked Questions on GCF of 1238 and 1240

1. What is the GCF of 1238 and 1240?

Answer: GCF of 1238 and 1240 is 2.

2. What are the Factors of 1238?

Answer: Factors of 1238 are 1, 2, 619, 1238. There are 4 integers that are factors of 1238. The greatest factor of 1238 is 1238.

3. What are the Factors of 1240?

Answer: Factors of 1240 are 1, 2, 4, 5, 8, 10, 20, 31, 40, 62, 124, 155, 248, 310, 620, 1240. There are 16 integers that are factors of 1240. The greatest factor of 1240 is 1240.

4. How to Find the GCF of 1238 and 1240?

Answer:

Greatest Common Factor of 1238 and 1240 = 2

Step 1: Find the prime factorization of 1238

1238 = 2 x 619

Step 2: Find the prime factorization of 1240

1240 = 2 x 2 x 2 x 5 x 31

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 1238 and 1240 is 2