What is the Greatest Common Factor of 75896 and 75912?

Greatest common factor (GCF) of 75896 and 75912 is 8.

GCF(75896,75912) = 8

We will now calculate the prime factors of 75896 and 75912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75896 and 75912.

How to find the GCF of 75896 and 75912?

We will first find the prime factorization of 75896 and 75912. After we will calculate the factors of 75896 and 75912 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 75912

Prime factors of 75912 are 2, 3, 3163. Prime factorization of 75912 in exponential form is:

75912 = 2³ × 3¹ × 3163¹

Step-3: Factors of 75896

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

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

Step-4: Factors of 75912

List of positive integer factors of 75912 that divides 75896 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3163, 6326, 9489, 12652, 18978, 25304, 37956

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75896 and 75912. The biggest common factor number is the GCF number.
So the greatest common factor 75896 and 75912 is 8.

Also check out the Least Common Multiple of 75896 and 75912