What is the Greatest Common Factor of 41686 and 41702?

Greatest common factor (GCF) of 41686 and 41702 is 2.

GCF(41686,41702) = 2

We will now calculate the prime factors of 41686 and 41702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41686 and 41702.

How to find the GCF of 41686 and 41702?

We will first find the prime factorization of 41686 and 41702. After we will calculate the factors of 41686 and 41702 and find the biggest common factor number .

Step-1: Prime Factorization of 41686

Prime factors of 41686 are 2, 19, 1097. Prime factorization of 41686 in exponential form is:

41686 = 2¹ × 19¹ × 1097¹

Step-2: Prime Factorization of 41702

Prime factors of 41702 are 2, 29, 719. Prime factorization of 41702 in exponential form is:

41702 = 2¹ × 29¹ × 719¹

Step-3: Factors of 41686

List of positive integer factors of 41686 that divides 41686 without a remainder.

1, 2, 19, 38, 1097, 2194, 20843

Step-4: Factors of 41702

List of positive integer factors of 41702 that divides 41686 without a remainder.

1, 2, 29, 58, 719, 1438, 20851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41686 and 41702. The biggest common factor number is the GCF number.
So the greatest common factor 41686 and 41702 is 2.

Also check out the Least Common Multiple of 41686 and 41702