Greatest Common Factor of 1241 and 1247

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 1241, 1247 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1241 and 1247 is 1.

GCF(1241,1247) = 1

GCF of 1241 and 1247

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

GCF of:
and

Greatest Common Factor of 1241 and 1247

GCF of 1241 and 1247 is 1

Prime Factorization of 1241


17 1241
73 73
1

Prime factors of 1241 are 17,73. Prime factorization of 1241 in exponential form is:

1241 = 171×731

Prime Factorization of 1247


29 1247
43 43
1

Prime factors of 1247 are 29,43. Prime factorization of 1247 in exponential form is:

1247 = 291×431

∴ So by taking common prime factors GCF of 1241 and 1247 is 1

Greatest Common Factor of 1241 and 1247 by matching factors method

Factors of 1241

List of positive integer factors of 1241 that divides 1241 without a remainder.

1,17,73,1241

Factors of 1247

List of positive integer factors of 1247 that divides 1247 without a remainder.

1,29,43,1247

Greatest Common Factor

We found the factors and prime factorization of 1241 and 1247. The biggest common factor number is the GCF number.
So the greatest common factor 1241 and 1247 is 1.

Also check out the Least Common Multiple of 1241 and 1247

Properties of GCF 1241 and 1247

(i) The GCF of 1241 and 1247 is associative

GCF of 1241 and 1247 = GCF of 1247 and 1241

Frequently Asked Questions on GCF of 1241 and 1247

1. What is the GCF of 1241 and 1247?

Answer: GCF of 1241 and 1247 is 1.

2. What are the Factors of 1241?

Answer: Factors of 1241 are 1, 17, 73, 1241. There are 4 integers that are factors of 1241. The greatest factor of 1241 is 1241.

3. What are the Factors of 1247?

Answer: Factors of 1247 are 1, 29, 43, 1247. There are 4 integers that are factors of 1247. The greatest factor of 1247 is 1247.

4. How to Find the GCF of 1241 and 1247?

Answer:

Greatest Common Factor of 1241 and 1247 = 1

Step 1: Find the prime factorization of 1241

1241 = 17 x 73

Step 2: Find the prime factorization of 1247

1247 = 29 x 43

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 1241 and 1247 is 1