What is the Greatest Common Factor of 75881 and 75894?

Greatest common factor (GCF) of 75881 and 75894 is 13.

GCF(75881,75894) = 13

We will now calculate the prime factors of 75881 and 75894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75881 and 75894.

How to find the GCF of 75881 and 75894?

We will first find the prime factorization of 75881 and 75894. After we will calculate the factors of 75881 and 75894 and find the biggest common factor number .

Step-1: Prime Factorization of 75881

Prime factors of 75881 are 13, 449. Prime factorization of 75881 in exponential form is:

75881 = 13² × 449¹

Step-2: Prime Factorization of 75894

Prime factors of 75894 are 2, 3, 7, 13, 139. Prime factorization of 75894 in exponential form is:

75894 = 2¹ × 3¹ × 7¹ × 13¹ × 139¹

Step-3: Factors of 75881

List of positive integer factors of 75881 that divides 75881 without a remainder.

1, 13, 169, 449, 5837

Step-4: Factors of 75894

List of positive integer factors of 75894 that divides 75881 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 139, 182, 273, 278, 417, 546, 834, 973, 1807, 1946, 2919, 3614, 5421, 5838, 10842, 12649, 25298, 37947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75881 and 75894. The biggest common factor number is the GCF number.
So the greatest common factor 75881 and 75894 is 13.

Also check out the Least Common Multiple of 75881 and 75894