What is the Greatest Common Factor of 94876 and 94888?

Greatest common factor (GCF) of 94876 and 94888 is 4.

GCF(94876,94888) = 4

We will now calculate the prime factors of 94876 and 94888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94876 and 94888.

How to find the GCF of 94876 and 94888?

We will first find the prime factorization of 94876 and 94888. After we will calculate the factors of 94876 and 94888 and find the biggest common factor number .

Step-1: Prime Factorization of 94876

Prime factors of 94876 are 2, 23719. Prime factorization of 94876 in exponential form is:

94876 = 2² × 23719¹

Step-2: Prime Factorization of 94888

Prime factors of 94888 are 2, 29, 409. Prime factorization of 94888 in exponential form is:

94888 = 2³ × 29¹ × 409¹

Step-3: Factors of 94876

List of positive integer factors of 94876 that divides 94876 without a remainder.

1, 2, 4, 23719, 47438

Step-4: Factors of 94888

List of positive integer factors of 94888 that divides 94876 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232, 409, 818, 1636, 3272, 11861, 23722, 47444

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94876 and 94888. The biggest common factor number is the GCF number.
So the greatest common factor 94876 and 94888 is 4.

Also check out the Least Common Multiple of 94876 and 94888