What is the Greatest Common Factor of 41636 and 41648?

Greatest common factor (GCF) of 41636 and 41648 is 4.

GCF(41636,41648) = 4

We will now calculate the prime factors of 41636 and 41648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41636 and 41648.

How to find the GCF of 41636 and 41648?

We will first find the prime factorization of 41636 and 41648. After we will calculate the factors of 41636 and 41648 and find the biggest common factor number .

Step-1: Prime Factorization of 41636

Prime factors of 41636 are 2, 7, 1487. Prime factorization of 41636 in exponential form is:

41636 = 2² × 7¹ × 1487¹

Step-2: 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-3: Factors of 41636

List of positive integer factors of 41636 that divides 41636 without a remainder.

1, 2, 4, 7, 14, 28, 1487, 2974, 5948, 10409, 20818

Step-4: Factors of 41648

List of positive integer factors of 41648 that divides 41636 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41636 and 41648. The biggest common factor number is the GCF number.
So the greatest common factor 41636 and 41648 is 4.

Also check out the Least Common Multiple of 41636 and 41648