What is the Greatest Common Factor of 94054 and 94072?

Greatest common factor (GCF) of 94054 and 94072 is 2.

GCF(94054,94072) = 2

We will now calculate the prime factors of 94054 and 94072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94054 and 94072.

How to find the GCF of 94054 and 94072?

We will first find the prime factorization of 94054 and 94072. After we will calculate the factors of 94054 and 94072 and find the biggest common factor number .

Step-1: Prime Factorization of 94054

Prime factors of 94054 are 2, 31, 37, 41. Prime factorization of 94054 in exponential form is:

94054 = 2¹ × 31¹ × 37¹ × 41¹

Step-2: Prime Factorization of 94072

Prime factors of 94072 are 2, 11, 1069. Prime factorization of 94072 in exponential form is:

94072 = 2³ × 11¹ × 1069¹

Step-3: Factors of 94054

List of positive integer factors of 94054 that divides 94054 without a remainder.

1, 2, 31, 37, 41, 62, 74, 82, 1147, 1271, 1517, 2294, 2542, 3034, 47027

Step-4: Factors of 94072

List of positive integer factors of 94072 that divides 94054 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 1069, 2138, 4276, 8552, 11759, 23518, 47036

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94054 and 94072. The biggest common factor number is the GCF number.
So the greatest common factor 94054 and 94072 is 2.

Also check out the Least Common Multiple of 94054 and 94072