What is the Greatest Common Factor of 883 and 896?

Greatest common factor (GCF) of 883 and 896 is 1.

GCF(883,896) = 1

We will now calculate the prime factors of 883 and 896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 883 and 896.

How to find the GCF of 883 and 896?

We will first find the prime factorization of 883 and 896. After we will calculate the factors of 883 and 896 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 896

Prime factors of 896 are 2, 7. Prime factorization of 896 in exponential form is:

896 = 2⁷ × 7¹

Step-3: Factors of 883

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

Step-4: Factors of 896

List of positive integer factors of 896 that divides 883 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 883 and 896. The biggest common factor number is the GCF number.
So the greatest common factor 883 and 896 is 1.

Also check out the Least Common Multiple of 883 and 896