What is the Greatest Common Factor of 42887 and 42896?

Greatest common factor (GCF) of 42887 and 42896 is 1.

GCF(42887,42896) = 1

We will now calculate the prime factors of 42887 and 42896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42887 and 42896.

How to find the GCF of 42887 and 42896?

We will first find the prime factorization of 42887 and 42896. After we will calculate the factors of 42887 and 42896 and find the biggest common factor number .

Step-1: Prime Factorization of 42887

Prime factors of 42887 are 13, 3299. Prime factorization of 42887 in exponential form is:

42887 = 13¹ × 3299¹

Step-2: Prime Factorization of 42896

Prime factors of 42896 are 2, 7, 383. Prime factorization of 42896 in exponential form is:

42896 = 2⁴ × 7¹ × 383¹

Step-3: Factors of 42887

List of positive integer factors of 42887 that divides 42887 without a remainder.

1, 13, 3299

Step-4: Factors of 42896

List of positive integer factors of 42896 that divides 42887 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 383, 766, 1532, 2681, 3064, 5362, 6128, 10724, 21448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42887 and 42896. The biggest common factor number is the GCF number.
So the greatest common factor 42887 and 42896 is 1.

Also check out the Least Common Multiple of 42887 and 42896