What is the Greatest Common Factor of 41639 and 41648?

Greatest common factor (GCF) of 41639 and 41648 is 1.

GCF(41639,41648) = 1

We will now calculate the prime factors of 41639 and 41648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41639 and 41648.

How to find the GCF of 41639 and 41648?

We will first find the prime factorization of 41639 and 41648. After we will calculate the factors of 41639 and 41648 and find the biggest common factor number .

Step-1: Prime Factorization of 41639

Prime factors of 41639 are 13, 3203. Prime factorization of 41639 in exponential form is:

41639 = 13¹ × 3203¹

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 41639

List of positive integer factors of 41639 that divides 41639 without a remainder.

1, 13, 3203

Step-4: Factors of 41648

List of positive integer factors of 41648 that divides 41639 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 41639 and 41648. The biggest common factor number is the GCF number.
So the greatest common factor 41639 and 41648 is 1.

Also check out the Least Common Multiple of 41639 and 41648