Greatest Common Factor of 1251 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 1251, 1253 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1251 and 1253 is 1.

GCF(1251,1253) = 1

GCF of 1251 and 1253

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

GCF of:
and

Greatest Common Factor of 1251 and 1253

GCF of 1251 and 1253 is 1

Prime Factorization of 1251


3 1251
3 417
139 139
1

Prime factors of 1251 are 3,139. Prime factorization of 1251 in exponential form is:

1251 = 32×1391

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 1251 and 1253 is 1

Greatest Common Factor of 1251 and 1253 by matching factors method

Factors of 1251

List of positive integer factors of 1251 that divides 1251 without a remainder.

1,3,9,139,417,1251

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 1251 and 1253. The biggest common factor number is the GCF number.
So the greatest common factor 1251 and 1253 is 1.

Also check out the Least Common Multiple of 1251 and 1253

Properties of GCF 1251 and 1253

(i) The GCF of 1251 and 1253 is associative

GCF of 1251 and 1253 = GCF of 1253 and 1251

Related Greatest Common Factor of 1251

Related Greatest Common Factor of 1253

Frequently Asked Questions on GCF of 1251 and 1253

1. What is the GCF of 1251 and 1253?

Answer: GCF of 1251 and 1253 is 1.

2. What are the Factors of 1251?

Answer: Factors of 1251 are 1, 3, 9, 139, 417, 1251. There are 6 integers that are factors of 1251. The greatest factor of 1251 is 1251.

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 1251 and 1253?

Answer:

Greatest Common Factor of 1251 and 1253 = 1

Step 1: Find the prime factorization of 1251

1251 = 3 x 3 x 139

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 1251 and 1253 is 1