What is the Greatest Common Factor of 41648 and 41667?

Greatest common factor (GCF) of 41648 and 41667 is 19.

GCF(41648,41667) = 19

We will now calculate the prime factors of 41648 and 41667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41648 and 41667.

How to find the GCF of 41648 and 41667?

We will first find the prime factorization of 41648 and 41667. After we will calculate the factors of 41648 and 41667 and find the biggest common factor number .

Step-1: Prime Factorization of 41648

Prime factors of 41648 are 2, 19, 137. Prime factorization of 41648 in exponential form is:

41648 = 2⁴ × 19¹ × 137¹

Step-2: Prime Factorization of 41667

Prime factors of 41667 are 3, 17, 19, 43. Prime factorization of 41667 in exponential form is:

41667 = 3¹ × 17¹ × 19¹ × 43¹

Step-3: Factors of 41648

List of positive integer factors of 41648 that divides 41648 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 137, 152, 274, 304, 548, 1096, 2192, 2603, 5206, 10412, 20824

Step-4: Factors of 41667

List of positive integer factors of 41667 that divides 41648 without a remainder.

1, 3, 17, 19, 43, 51, 57, 129, 323, 731, 817, 969, 2193, 2451, 13889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41648 and 41667. The biggest common factor number is the GCF number.
So the greatest common factor 41648 and 41667 is 19.

Also check out the Least Common Multiple of 41648 and 41667