Greatest Common Factor of 1247 and 1253

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 1247, 1253 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1247 and 1253 is 1.

GCF(1247,1253) = 1

GCF of 1247 and 1253

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

GCF of:
and

Greatest Common Factor of 1247 and 1253

GCF of 1247 and 1253 is 1

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

Prime Factorization of 1253


7 1253
179 179
1

Prime factors of 1253 are 7,179. Prime factorization of 1253 in exponential form is:

1253 = 71×1791

∴ So by taking common prime factors GCF of 1247 and 1253 is 1

Greatest Common Factor of 1247 and 1253 by matching factors method

Factors of 1247

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

1,29,43,1247

Factors of 1253

List of positive integer factors of 1253 that divides 1253 without a remainder.

1,7,179,1253

Greatest Common Factor

We found the factors and prime factorization of 1247 and 1253. The biggest common factor number is the GCF number.
So the greatest common factor 1247 and 1253 is 1.

Also check out the Least Common Multiple of 1247 and 1253

Properties of GCF 1247 and 1253

(i) The GCF of 1247 and 1253 is associative

GCF of 1247 and 1253 = GCF of 1253 and 1247

Related Greatest Common Factor of 1247

Related Greatest Common Factor of 1253

Frequently Asked Questions on GCF of 1247 and 1253

1. What is the GCF of 1247 and 1253?

Answer: GCF of 1247 and 1253 is 1.

2. 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.

3. What are the Factors of 1253?

Answer: Factors of 1253 are 1, 7, 179, 1253. There are 4 integers that are factors of 1253. The greatest factor of 1253 is 1253.

4. How to Find the GCF of 1247 and 1253?

Answer:

Greatest Common Factor of 1247 and 1253 = 1

Step 1: Find the prime factorization of 1247

1247 = 29 x 43

Step 2: Find the prime factorization of 1253

1253 = 7 x 179

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 1247 and 1253 is 1