What is the Greatest Common Factor of 41762 and 41767?

Greatest common factor (GCF) of 41762 and 41767 is 1.

GCF(41762,41767) = 1

We will now calculate the prime factors of 41762 and 41767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41762 and 41767.

How to find the GCF of 41762 and 41767?

We will first find the prime factorization of 41762 and 41767. After we will calculate the factors of 41762 and 41767 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41767

Prime factors of 41767 are 11, 3797. Prime factorization of 41767 in exponential form is:

41767 = 11¹ × 3797¹

Step-3: Factors of 41762

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

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

Step-4: Factors of 41767

List of positive integer factors of 41767 that divides 41762 without a remainder.

1, 11, 3797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41762 and 41767. The biggest common factor number is the GCF number.
So the greatest common factor 41762 and 41767 is 1.

Also check out the Least Common Multiple of 41762 and 41767