Greatest Common Factor of 1273 and 1281

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 1273, 1281 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1273 and 1281 is 1.

GCF(1273,1281) = 1

GCF of 1273 and 1281

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

GCF of:
and

Greatest Common Factor of 1273 and 1281

GCF of 1273 and 1281 is 1

Prime Factorization of 1273


19 1273
67 67
1

Prime factors of 1273 are 19,67. Prime factorization of 1273 in exponential form is:

1273 = 191×671

Prime Factorization of 1281


3 1281
7 427
61 61
1

Prime factors of 1281 are 3,7,61. Prime factorization of 1281 in exponential form is:

1281 = 31×71×611

∴ So by taking common prime factors GCF of 1273 and 1281 is 1

Greatest Common Factor of 1273 and 1281 by matching factors method

Factors of 1273

List of positive integer factors of 1273 that divides 1273 without a remainder.

1,19,67,1273

Factors of 1281

List of positive integer factors of 1281 that divides 1281 without a remainder.

1,3,7,21,61,183,427,1281

Greatest Common Factor

We found the factors and prime factorization of 1273 and 1281. The biggest common factor number is the GCF number.
So the greatest common factor 1273 and 1281 is 1.

Also check out the Least Common Multiple of 1273 and 1281

Properties of GCF 1273 and 1281

(i) The GCF of 1273 and 1281 is associative

GCF of 1273 and 1281 = GCF of 1281 and 1273

Frequently Asked Questions on GCF of 1273 and 1281

1. What is the GCF of 1273 and 1281?

Answer: GCF of 1273 and 1281 is 1.

2. What are the Factors of 1273?

Answer: Factors of 1273 are 1, 19, 67, 1273. There are 4 integers that are factors of 1273. The greatest factor of 1273 is 1273.

3. What are the Factors of 1281?

Answer: Factors of 1281 are 1, 3, 7, 21, 61, 183, 427, 1281. There are 8 integers that are factors of 1281. The greatest factor of 1281 is 1281.

4. How to Find the GCF of 1273 and 1281?

Answer:

Greatest Common Factor of 1273 and 1281 = 1

Step 1: Find the prime factorization of 1273

1273 = 19 x 67

Step 2: Find the prime factorization of 1281

1281 = 3 x 7 x 61

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 1273 and 1281 is 1