What is the Greatest Common Factor of 883 and 903?

Greatest common factor (GCF) of 883 and 903 is 1.

GCF(883,903) = 1

We will now calculate the prime factors of 883 and 903, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 883 and 903.

How to find the GCF of 883 and 903?

We will first find the prime factorization of 883 and 903. After we will calculate the factors of 883 and 903 and find the biggest common factor number .

Step-1: Prime Factorization of 883

Prime factors of 883 are 883. Prime factorization of 883 in exponential form is:

883 = 883¹

Step-2: Prime Factorization of 903

Prime factors of 903 are 3, 7, 43. Prime factorization of 903 in exponential form is:

903 = 3¹ × 7¹ × 43¹

Step-3: Factors of 883

List of positive integer factors of 883 that divides 883 without a remainder.

Step-4: Factors of 903

List of positive integer factors of 903 that divides 883 without a remainder.

1, 3, 7, 21, 43, 129, 301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 883 and 903. The biggest common factor number is the GCF number.
So the greatest common factor 883 and 903 is 1.

Also check out the Least Common Multiple of 883 and 903