Greatest Common Factor of 1246 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 1246, 1253 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1246 and 1253 is 7.

GCF(1246,1253) = 7

GCF of 1246 and 1253

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

GCF of:
and

Greatest Common Factor of 1246 and 1253

GCF of 1246 and 1253 is 7

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

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 1246 and 1253 is 7

Greatest Common Factor of 1246 and 1253 by matching factors method

Factors of 1246

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

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

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 1246 and 1253. The biggest common factor number is the GCF number.
So the greatest common factor 1246 and 1253 is 7.

Also check out the Least Common Multiple of 1246 and 1253

Properties of GCF 1246 and 1253

(i) The GCF of 1246 and 1253 is associative

GCF of 1246 and 1253 = GCF of 1253 and 1246

Related Greatest Common Factor of 1246

Related Greatest Common Factor of 1253

Frequently Asked Questions on GCF of 1246 and 1253

1. What is the GCF of 1246 and 1253?

Answer: GCF of 1246 and 1253 is 7.

2. 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.

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 1246 and 1253?

Answer:

Greatest Common Factor of 1246 and 1253 = 7

Step 1: Find the prime factorization of 1246

1246 = 2 x 7 x 89

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 = 7

Step 4: Therefore, the greatest common factor of 1246 and 1253 is 7