What is the Greatest Common Factor of 41744 and 41756?

Greatest common factor (GCF) of 41744 and 41756 is 4.

GCF(41744,41756) = 4

We will now calculate the prime factors of 41744 and 41756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41744 and 41756.

How to find the GCF of 41744 and 41756?

We will first find the prime factorization of 41744 and 41756. After we will calculate the factors of 41744 and 41756 and find the biggest common factor number .

Step-1: Prime Factorization of 41744

Prime factors of 41744 are 2, 2609. Prime factorization of 41744 in exponential form is:

41744 = 2⁴ × 2609¹

Step-2: Prime Factorization of 41756

Prime factors of 41756 are 2, 11, 13, 73. Prime factorization of 41756 in exponential form is:

41756 = 2² × 11¹ × 13¹ × 73¹

Step-3: Factors of 41744

List of positive integer factors of 41744 that divides 41744 without a remainder.

1, 2, 4, 8, 16, 2609, 5218, 10436, 20872

Step-4: Factors of 41756

List of positive integer factors of 41756 that divides 41744 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 73, 143, 146, 286, 292, 572, 803, 949, 1606, 1898, 3212, 3796, 10439, 20878

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41744 and 41756. The biggest common factor number is the GCF number.
So the greatest common factor 41744 and 41756 is 4.

Also check out the Least Common Multiple of 41744 and 41756