What is the Greatest Common Factor of 94031 and 94050?

Greatest common factor (GCF) of 94031 and 94050 is 19.

GCF(94031,94050) = 19

We will now calculate the prime factors of 94031 and 94050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94031 and 94050.

How to find the GCF of 94031 and 94050?

We will first find the prime factorization of 94031 and 94050. After we will calculate the factors of 94031 and 94050 and find the biggest common factor number .

Step-1: Prime Factorization of 94031

Prime factors of 94031 are 7, 19, 101. Prime factorization of 94031 in exponential form is:

94031 = 7² × 19¹ × 101¹

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 94031

List of positive integer factors of 94031 that divides 94031 without a remainder.

1, 7, 19, 49, 101, 133, 707, 931, 1919, 4949, 13433

Step-4: Factors of 94050

List of positive integer factors of 94050 that divides 94031 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 94031 and 94050. The biggest common factor number is the GCF number.
So the greatest common factor 94031 and 94050 is 19.

Also check out the Least Common Multiple of 94031 and 94050