What is the Greatest Common Factor of 75885 and 75894?

Greatest common factor (GCF) of 75885 and 75894 is 3.

GCF(75885,75894) = 3

We will now calculate the prime factors of 75885 and 75894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75885 and 75894.

How to find the GCF of 75885 and 75894?

We will first find the prime factorization of 75885 and 75894. After we will calculate the factors of 75885 and 75894 and find the biggest common factor number .

Step-1: Prime Factorization of 75885

Prime factors of 75885 are 3, 5, 5059. Prime factorization of 75885 in exponential form is:

75885 = 3¹ × 5¹ × 5059¹

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 75885

List of positive integer factors of 75885 that divides 75885 without a remainder.

1, 3, 5, 15, 5059, 15177, 25295

Step-4: Factors of 75894

List of positive integer factors of 75894 that divides 75885 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 75885 and 75894. The biggest common factor number is the GCF number.
So the greatest common factor 75885 and 75894 is 3.

Also check out the Least Common Multiple of 75885 and 75894