What is the Greatest Common Factor of 2877 and 2896?

Greatest common factor (GCF) of 2877 and 2896 is 1.

GCF(2877,2896) = 1

We will now calculate the prime factors of 2877 and 2896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2877 and 2896.

How to find the GCF of 2877 and 2896?

We will first find the prime factorization of 2877 and 2896. After we will calculate the factors of 2877 and 2896 and find the biggest common factor number .

Step-1: Prime Factorization of 2877

Prime factors of 2877 are 3, 7, 137. Prime factorization of 2877 in exponential form is:

2877 = 3¹ × 7¹ × 137¹

Step-2: Prime Factorization of 2896

Prime factors of 2896 are 2, 181. Prime factorization of 2896 in exponential form is:

2896 = 2⁴ × 181¹

Step-3: Factors of 2877

List of positive integer factors of 2877 that divides 2877 without a remainder.

1, 3, 7, 21, 137, 411, 959

Step-4: Factors of 2896

List of positive integer factors of 2896 that divides 2877 without a remainder.

1, 2, 4, 8, 16, 181, 362, 724, 1448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2877 and 2896. The biggest common factor number is the GCF number.
So the greatest common factor 2877 and 2896 is 1.

Also check out the Least Common Multiple of 2877 and 2896