What is the Greatest Common Factor of 41714 and 41722?

Greatest common factor (GCF) of 41714 and 41722 is 2.

GCF(41714,41722) = 2

We will now calculate the prime factors of 41714 and 41722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41714 and 41722.

How to find the GCF of 41714 and 41722?

We will first find the prime factorization of 41714 and 41722. After we will calculate the factors of 41714 and 41722 and find the biggest common factor number .

Step-1: Prime Factorization of 41714

Prime factors of 41714 are 2, 20857. Prime factorization of 41714 in exponential form is:

41714 = 2¹ × 20857¹

Step-2: Prime Factorization of 41722

Prime factors of 41722 are 2, 23, 907. Prime factorization of 41722 in exponential form is:

41722 = 2¹ × 23¹ × 907¹

Step-3: Factors of 41714

List of positive integer factors of 41714 that divides 41714 without a remainder.

1, 2, 20857

Step-4: Factors of 41722

List of positive integer factors of 41722 that divides 41714 without a remainder.

1, 2, 23, 46, 907, 1814, 20861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41714 and 41722. The biggest common factor number is the GCF number.
So the greatest common factor 41714 and 41722 is 2.

Also check out the Least Common Multiple of 41714 and 41722