What is the Greatest Common Factor of 41638 and 41650?

Greatest common factor (GCF) of 41638 and 41650 is 2.

GCF(41638,41650) = 2

We will now calculate the prime factors of 41638 and 41650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41638 and 41650.

How to find the GCF of 41638 and 41650?

We will first find the prime factorization of 41638 and 41650. After we will calculate the factors of 41638 and 41650 and find the biggest common factor number .

Step-1: Prime Factorization of 41638

Prime factors of 41638 are 2, 109, 191. Prime factorization of 41638 in exponential form is:

41638 = 2¹ × 109¹ × 191¹

Step-2: Prime Factorization of 41650

Prime factors of 41650 are 2, 5, 7, 17. Prime factorization of 41650 in exponential form is:

41650 = 2¹ × 5² × 7² × 17¹

Step-3: Factors of 41638

List of positive integer factors of 41638 that divides 41638 without a remainder.

1, 2, 109, 191, 218, 382, 20819

Step-4: Factors of 41650

List of positive integer factors of 41650 that divides 41638 without a remainder.

1, 2, 5, 7, 10, 14, 17, 25, 34, 35, 49, 50, 70, 85, 98, 119, 170, 175, 238, 245, 350, 425, 490, 595, 833, 850, 1190, 1225, 1666, 2450, 2975, 4165, 5950, 8330, 20825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41638 and 41650. The biggest common factor number is the GCF number.
So the greatest common factor 41638 and 41650 is 2.

Also check out the Least Common Multiple of 41638 and 41650