What is the Greatest Common Factor of 94014 and 94032?

Greatest common factor (GCF) of 94014 and 94032 is 18.

GCF(94014,94032) = 18

We will now calculate the prime factors of 94014 and 94032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94014 and 94032.

How to find the GCF of 94014 and 94032?

We will first find the prime factorization of 94014 and 94032. After we will calculate the factors of 94014 and 94032 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 94032

Prime factors of 94032 are 2, 3, 653. Prime factorization of 94032 in exponential form is:

94032 = 2⁴ × 3² × 653¹

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 94032

List of positive integer factors of 94032 that divides 94014 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 653, 1306, 1959, 2612, 3918, 5224, 5877, 7836, 10448, 11754, 15672, 23508, 31344, 47016

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94014 and 94032. The biggest common factor number is the GCF number.
So the greatest common factor 94014 and 94032 is 18.

Also check out the Least Common Multiple of 94014 and 94032