What is the Greatest Common Factor of 94014 and 94028?

Greatest common factor (GCF) of 94014 and 94028 is 2.

GCF(94014,94028) = 2

We will now calculate the prime factors of 94014 and 94028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94014 and 94028.

How to find the GCF of 94014 and 94028?

We will first find the prime factorization of 94014 and 94028. After we will calculate the factors of 94014 and 94028 and find the biggest common factor number .

Step-1: Prime Factorization of 94014

Prime factors of 94014 are 2, 3, 1741. Prime factorization of 94014 in exponential form is:

94014 = 2¹ × 3³ × 1741¹

Step-2: Prime Factorization of 94028

Prime factors of 94028 are 2, 11, 2137. Prime factorization of 94028 in exponential form is:

94028 = 2² × 11¹ × 2137¹

Step-3: Factors of 94014

List of positive integer factors of 94014 that divides 94014 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1741, 3482, 5223, 10446, 15669, 31338, 47007

Step-4: Factors of 94028

List of positive integer factors of 94028 that divides 94014 without a remainder.

1, 2, 4, 11, 22, 44, 2137, 4274, 8548, 23507, 47014

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94014 and 94028. The biggest common factor number is the GCF number.
So the greatest common factor 94014 and 94028 is 2.

Also check out the Least Common Multiple of 94014 and 94028