What is the Greatest Common Factor of 41971 and 41990?

Greatest common factor (GCF) of 41971 and 41990 is 19.

GCF(41971,41990) = 19

We will now calculate the prime factors of 41971 and 41990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41971 and 41990.

How to find the GCF of 41971 and 41990?

We will first find the prime factorization of 41971 and 41990. After we will calculate the factors of 41971 and 41990 and find the biggest common factor number .

Step-1: Prime Factorization of 41971

Prime factors of 41971 are 19, 47. Prime factorization of 41971 in exponential form is:

41971 = 19¹ × 47²

Step-2: 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-3: Factors of 41971

List of positive integer factors of 41971 that divides 41971 without a remainder.

1, 19, 47, 893, 2209

Step-4: Factors of 41990

List of positive integer factors of 41990 that divides 41971 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41971 and 41990. The biggest common factor number is the GCF number.
So the greatest common factor 41971 and 41990 is 19.

Also check out the Least Common Multiple of 41971 and 41990