What is the Greatest Common Factor of 94088 and 94096?

Greatest common factor (GCF) of 94088 and 94096 is 8.

GCF(94088,94096) = 8

We will now calculate the prime factors of 94088 and 94096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94088 and 94096.

How to find the GCF of 94088 and 94096?

We will first find the prime factorization of 94088 and 94096. After we will calculate the factors of 94088 and 94096 and find the biggest common factor number .

Step-1: Prime Factorization of 94088

Prime factors of 94088 are 2, 19, 619. Prime factorization of 94088 in exponential form is:

94088 = 2³ × 19¹ × 619¹

Step-2: Prime Factorization of 94096

Prime factors of 94096 are 2, 5881. Prime factorization of 94096 in exponential form is:

94096 = 2⁴ × 5881¹

Step-3: Factors of 94088

List of positive integer factors of 94088 that divides 94088 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 619, 1238, 2476, 4952, 11761, 23522, 47044

Step-4: Factors of 94096

List of positive integer factors of 94096 that divides 94088 without a remainder.

1, 2, 4, 8, 16, 5881, 11762, 23524, 47048

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94088 and 94096. The biggest common factor number is the GCF number.
So the greatest common factor 94088 and 94096 is 8.

Also check out the Least Common Multiple of 94088 and 94096