What is the Greatest Common Factor of 75876 and 75885?

Greatest common factor (GCF) of 75876 and 75885 is 3.

GCF(75876,75885) = 3

We will now calculate the prime factors of 75876 and 75885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75876 and 75885.

How to find the GCF of 75876 and 75885?

We will first find the prime factorization of 75876 and 75885. After we will calculate the factors of 75876 and 75885 and find the biggest common factor number .

Step-1: Prime Factorization of 75876

Prime factors of 75876 are 2, 3, 6323. Prime factorization of 75876 in exponential form is:

75876 = 2² × 3¹ × 6323¹

Step-2: 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-3: Factors of 75876

List of positive integer factors of 75876 that divides 75876 without a remainder.

1, 2, 3, 4, 6, 12, 6323, 12646, 18969, 25292, 37938

Step-4: Factors of 75885

List of positive integer factors of 75885 that divides 75876 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75876 and 75885. The biggest common factor number is the GCF number.
So the greatest common factor 75876 and 75885 is 3.

Also check out the Least Common Multiple of 75876 and 75885