What is the Greatest Common Factor of 1295 and 1303?

Greatest common factor (GCF) of 1295 and 1303 is 1.

GCF(1295,1303) = 1

We will now calculate the prime factors of 1295 and 1303, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1295 and 1303.

How to find the GCF of 1295 and 1303?

We will first find the prime factorization of 1295 and 1303. After we will calculate the factors of 1295 and 1303 and find the biggest common factor number .

Step-1: Prime Factorization of 1295

Prime factors of 1295 are 5, 7, 37. Prime factorization of 1295 in exponential form is:

1295 = 5¹ × 7¹ × 37¹

Step-2: Prime Factorization of 1303

Prime factors of 1303 are 1303. Prime factorization of 1303 in exponential form is:

1303 = 1303¹

Step-3: Factors of 1295

List of positive integer factors of 1295 that divides 1295 without a remainder.

1, 5, 7, 35, 37, 185, 259

Step-4: Factors of 1303

List of positive integer factors of 1303 that divides 1295 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1295 and 1303. The biggest common factor number is the GCF number.
So the greatest common factor 1295 and 1303 is 1.

Also check out the Least Common Multiple of 1295 and 1303