What is the Greatest Common Factor of 41743 and 41762?

Greatest common factor (GCF) of 41743 and 41762 is 19.

GCF(41743,41762) = 19

We will now calculate the prime factors of 41743 and 41762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41743 and 41762.

How to find the GCF of 41743 and 41762?

We will first find the prime factorization of 41743 and 41762. After we will calculate the factors of 41743 and 41762 and find the biggest common factor number .

Step-1: Prime Factorization of 41743

Prime factors of 41743 are 13, 19. Prime factorization of 41743 in exponential form is:

41743 = 13³ × 19¹

Step-2: Prime Factorization of 41762

Prime factors of 41762 are 2, 7, 19, 157. Prime factorization of 41762 in exponential form is:

41762 = 2¹ × 7¹ × 19¹ × 157¹

Step-3: Factors of 41743

List of positive integer factors of 41743 that divides 41743 without a remainder.

1, 13, 19, 169, 247, 2197, 3211

Step-4: Factors of 41762

List of positive integer factors of 41762 that divides 41743 without a remainder.

1, 2, 7, 14, 19, 38, 133, 157, 266, 314, 1099, 2198, 2983, 5966, 20881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41743 and 41762. The biggest common factor number is the GCF number.
So the greatest common factor 41743 and 41762 is 19.

Also check out the Least Common Multiple of 41743 and 41762