What is the Greatest Common Factor of 94032 and 94038?

Greatest common factor (GCF) of 94032 and 94038 is 6.

GCF(94032,94038) = 6

We will now calculate the prime factors of 94032 and 94038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94032 and 94038.

How to find the GCF of 94032 and 94038?

We will first find the prime factorization of 94032 and 94038. After we will calculate the factors of 94032 and 94038 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 94038

Prime factors of 94038 are 2, 3, 7, 2239. Prime factorization of 94038 in exponential form is:

94038 = 2¹ × 3¹ × 7¹ × 2239¹

Step-3: Factors of 94032

List of positive integer factors of 94032 that divides 94032 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

Step-4: Factors of 94038

List of positive integer factors of 94038 that divides 94032 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2239, 4478, 6717, 13434, 15673, 31346, 47019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94032 and 94038. The biggest common factor number is the GCF number.
So the greatest common factor 94032 and 94038 is 6.

Also check out the Least Common Multiple of 94032 and 94038