What is the Greatest Common Factor of 41719 and 41736?

Greatest common factor (GCF) of 41719 and 41736 is 1.

GCF(41719,41736) = 1

We will now calculate the prime factors of 41719 and 41736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41719 and 41736.

How to find the GCF of 41719 and 41736?

We will first find the prime factorization of 41719 and 41736. After we will calculate the factors of 41719 and 41736 and find the biggest common factor number .

Step-1: Prime Factorization of 41719

Prime factors of 41719 are 41719. Prime factorization of 41719 in exponential form is:

41719 = 41719¹

Step-2: Prime Factorization of 41736

Prime factors of 41736 are 2, 3, 37, 47. Prime factorization of 41736 in exponential form is:

41736 = 2³ × 3¹ × 37¹ × 47¹

Step-3: Factors of 41719

List of positive integer factors of 41719 that divides 41719 without a remainder.

Step-4: Factors of 41736

List of positive integer factors of 41736 that divides 41719 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 47, 74, 94, 111, 141, 148, 188, 222, 282, 296, 376, 444, 564, 888, 1128, 1739, 3478, 5217, 6956, 10434, 13912, 20868

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41719 and 41736. The biggest common factor number is the GCF number.
So the greatest common factor 41719 and 41736 is 1.

Also check out the Least Common Multiple of 41719 and 41736