Greatest Common Factor of 1238 and 1246

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, 1246 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1238 and 1246 is 2.

GCF(1238,1246) = 2

GCF of 1238 and 1246

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

GCF of:
and

Greatest Common Factor of 1238 and 1246

GCF of 1238 and 1246 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 1246


2 1246
7 623
89 89
1

Prime factors of 1246 are 2,7,89. Prime factorization of 1246 in exponential form is:

1246 = 21×71×891

∴ So by taking common prime factors GCF of 1238 and 1246 is 2

Greatest Common Factor of 1238 and 1246 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 1246

List of positive integer factors of 1246 that divides 1246 without a remainder.

1,2,7,14,89,178,623,1246

Greatest Common Factor

We found the factors and prime factorization of 1238 and 1246. The biggest common factor number is the GCF number.
So the greatest common factor 1238 and 1246 is 2.

Also check out the Least Common Multiple of 1238 and 1246

Properties of GCF 1238 and 1246

(i) The GCF of 1238 and 1246 is associative

GCF of 1238 and 1246 = GCF of 1246 and 1238

Related Greatest Common Factor of 1238

Related Greatest Common Factor of 1246

Frequently Asked Questions on GCF of 1238 and 1246

1. What is the GCF of 1238 and 1246?

Answer: GCF of 1238 and 1246 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 1246?

Answer: Factors of 1246 are 1, 2, 7, 14, 89, 178, 623, 1246. There are 8 integers that are factors of 1246. The greatest factor of 1246 is 1246.

4. How to Find the GCF of 1238 and 1246?

Answer:

Greatest Common Factor of 1238 and 1246 = 2

Step 1: Find the prime factorization of 1238

1238 = 2 x 619

Step 2: Find the prime factorization of 1246

1246 = 2 x 7 x 89

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 1246 is 2