What is the Greatest Common Factor of 75885 and 75896?

Greatest common factor (GCF) of 75885 and 75896 is 1.

GCF(75885,75896) = 1

We will now calculate the prime factors of 75885 and 75896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75885 and 75896.

How to find the GCF of 75885 and 75896?

We will first find the prime factorization of 75885 and 75896. After we will calculate the factors of 75885 and 75896 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 75896

Prime factors of 75896 are 2, 53, 179. Prime factorization of 75896 in exponential form is:

75896 = 2³ × 53¹ × 179¹

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 75896

List of positive integer factors of 75896 that divides 75885 without a remainder.

1, 2, 4, 8, 53, 106, 179, 212, 358, 424, 716, 1432, 9487, 18974, 37948

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75885 and 75896. The biggest common factor number is the GCF number.
So the greatest common factor 75885 and 75896 is 1.

Also check out the Least Common Multiple of 75885 and 75896