What is the Greatest Common Factor of 94054 and 94070?

Greatest common factor (GCF) of 94054 and 94070 is 2.

GCF(94054,94070) = 2

We will now calculate the prime factors of 94054 and 94070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94054 and 94070.

How to find the GCF of 94054 and 94070?

We will first find the prime factorization of 94054 and 94070. After we will calculate the factors of 94054 and 94070 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 94070

Prime factors of 94070 are 2, 5, 23, 409. Prime factorization of 94070 in exponential form is:

94070 = 2¹ × 5¹ × 23¹ × 409¹

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 94070

List of positive integer factors of 94070 that divides 94054 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 409, 818, 2045, 4090, 9407, 18814, 47035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94054 and 94070. The biggest common factor number is the GCF number.
So the greatest common factor 94054 and 94070 is 2.

Also check out the Least Common Multiple of 94054 and 94070