Greatest Common Factor of 1273 and 1278

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, 1278 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1273 and 1278 is 1.

GCF(1273,1278) = 1

GCF of 1273 and 1278

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

GCF of:
and

Greatest Common Factor of 1273 and 1278

GCF of 1273 and 1278 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 1278


2 1278
3 639
3 213
71 71
1

Prime factors of 1278 are 2,3,71. Prime factorization of 1278 in exponential form is:

1278 = 21×32×711

∴ So by taking common prime factors GCF of 1273 and 1278 is 1

Greatest Common Factor of 1273 and 1278 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 1278

List of positive integer factors of 1278 that divides 1278 without a remainder.

1,2,3,6,9,18,71,142,213,426,639,1278

Greatest Common Factor

We found the factors and prime factorization of 1273 and 1278. The biggest common factor number is the GCF number.
So the greatest common factor 1273 and 1278 is 1.

Also check out the Least Common Multiple of 1273 and 1278

Properties of GCF 1273 and 1278

(i) The GCF of 1273 and 1278 is associative

GCF of 1273 and 1278 = GCF of 1278 and 1273

Related Greatest Common Factor of 1273

Related Greatest Common Factor of 1278

Frequently Asked Questions on GCF of 1273 and 1278

1. What is the GCF of 1273 and 1278?

Answer: GCF of 1273 and 1278 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 1278?

Answer: Factors of 1278 are 1, 2, 3, 6, 9, 18, 71, 142, 213, 426, 639, 1278. There are 12 integers that are factors of 1278. The greatest factor of 1278 is 1278.

4. How to Find the GCF of 1273 and 1278?

Answer:

Greatest Common Factor of 1273 and 1278 = 1

Step 1: Find the prime factorization of 1273

1273 = 19 x 67

Step 2: Find the prime factorization of 1278

1278 = 2 x 3 x 3 x 71

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 1278 is 1