What is the Greatest Common Factor of 41970 and 41990?

Greatest common factor (GCF) of 41970 and 41990 is 10.

GCF(41970,41990) = 10

We will now calculate the prime factors of 41970 and 41990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41970 and 41990.

How to find the GCF of 41970 and 41990?

We will first find the prime factorization of 41970 and 41990. After we will calculate the factors of 41970 and 41990 and find the biggest common factor number .

Step-1: Prime Factorization of 41970

Prime factors of 41970 are 2, 3, 5, 1399. Prime factorization of 41970 in exponential form is:

41970 = 2¹ × 3¹ × 5¹ × 1399¹

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 41970

List of positive integer factors of 41970 that divides 41970 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1399, 2798, 4197, 6995, 8394, 13990, 20985

Step-4: Factors of 41990

List of positive integer factors of 41990 that divides 41970 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 41970 and 41990. The biggest common factor number is the GCF number.
So the greatest common factor 41970 and 41990 is 10.

Also check out the Least Common Multiple of 41970 and 41990