What is the Greatest Common Factor of 94094 and 94101?

Greatest common factor (GCF) of 94094 and 94101 is 7.

GCF(94094,94101) = 7

We will now calculate the prime factors of 94094 and 94101, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94094 and 94101.

How to find the GCF of 94094 and 94101?

We will first find the prime factorization of 94094 and 94101. After we will calculate the factors of 94094 and 94101 and find the biggest common factor number .

Step-1: Prime Factorization of 94094

Prime factors of 94094 are 2, 7, 11, 13, 47. Prime factorization of 94094 in exponential form is:

94094 = 2¹ × 7¹ × 11¹ × 13¹ × 47¹

Step-2: Prime Factorization of 94101

Prime factors of 94101 are 3, 7, 4481. Prime factorization of 94101 in exponential form is:

94101 = 3¹ × 7¹ × 4481¹

Step-3: Factors of 94094

List of positive integer factors of 94094 that divides 94094 without a remainder.

1, 2, 7, 11, 13, 14, 22, 26, 47, 77, 91, 94, 143, 154, 182, 286, 329, 517, 611, 658, 1001, 1034, 1222, 2002, 3619, 4277, 6721, 7238, 8554, 13442, 47047

Step-4: Factors of 94101

List of positive integer factors of 94101 that divides 94094 without a remainder.

1, 3, 7, 21, 4481, 13443, 31367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94094 and 94101. The biggest common factor number is the GCF number.
So the greatest common factor 94094 and 94101 is 7.

Also check out the Least Common Multiple of 94094 and 94101