What is the Greatest Common Factor of 41990 and 42009?

Greatest common factor (GCF) of 41990 and 42009 is 19.

GCF(41990,42009) = 19

We will now calculate the prime factors of 41990 and 42009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41990 and 42009.

How to find the GCF of 41990 and 42009?

We will first find the prime factorization of 41990 and 42009. After we will calculate the factors of 41990 and 42009 and find the biggest common factor number .

Step-1: Prime Factorization of 41990

Prime factors of 41990 are 2, 5, 13, 17, 19. Prime factorization of 41990 in exponential form is:

41990 = 2¹ × 5¹ × 13¹ × 17¹ × 19¹

Step-2: Prime Factorization of 42009

Prime factors of 42009 are 3, 11, 19, 67. Prime factorization of 42009 in exponential form is:

42009 = 3¹ × 11¹ × 19¹ × 67¹

Step-3: Factors of 41990

List of positive integer factors of 41990 that divides 41990 without a remainder.

1, 2, 5, 10, 13, 17, 19, 26, 34, 38, 65, 85, 95, 130, 170, 190, 221, 247, 323, 442, 494, 646, 1105, 1235, 1615, 2210, 2470, 3230, 4199, 8398, 20995

Step-4: Factors of 42009

List of positive integer factors of 42009 that divides 41990 without a remainder.

1, 3, 11, 19, 33, 57, 67, 201, 209, 627, 737, 1273, 2211, 3819, 14003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41990 and 42009. The biggest common factor number is the GCF number.
So the greatest common factor 41990 and 42009 is 19.

Also check out the Least Common Multiple of 41990 and 42009