What is the Greatest Common Factor of 94032 and 94050?

Greatest common factor (GCF) of 94032 and 94050 is 18.

GCF(94032,94050) = 18

We will now calculate the prime factors of 94032 and 94050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94032 and 94050.

How to find the GCF of 94032 and 94050?

We will first find the prime factorization of 94032 and 94050. After we will calculate the factors of 94032 and 94050 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 94050

Prime factors of 94050 are 2, 3, 5, 11, 19. Prime factorization of 94050 in exponential form is:

94050 = 2¹ × 3² × 5² × 11¹ × 19¹

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 94050

List of positive integer factors of 94050 that divides 94032 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 19, 22, 25, 30, 33, 38, 45, 50, 55, 57, 66, 75, 90, 95, 99, 110, 114, 150, 165, 171, 190, 198, 209, 225, 275, 285, 330, 342, 418, 450, 475, 495, 550, 570, 627, 825, 855, 950, 990, 1045, 1254, 1425, 1650, 1710, 1881, 2090, 2475, 2850, 3135, 3762, 4275, 4950, 5225, 6270, 8550, 9405, 10450, 15675, 18810, 31350, 47025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94032 and 94050. The biggest common factor number is the GCF number.
So the greatest common factor 94032 and 94050 is 18.

Also check out the Least Common Multiple of 94032 and 94050