What is the Greatest Common Factor of 71846 and 71864?

Greatest common factor (GCF) of 71846 and 71864 is 2.

GCF(71846,71864) = 2

We will now calculate the prime factors of 71846 and 71864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71846 and 71864.

How to find the GCF of 71846 and 71864?

We will first find the prime factorization of 71846 and 71864. After we will calculate the factors of 71846 and 71864 and find the biggest common factor number .

Step-1: Prime Factorization of 71846

Prime factors of 71846 are 2, 35923. Prime factorization of 71846 in exponential form is:

71846 = 2¹ × 35923¹

Step-2: Prime Factorization of 71864

Prime factors of 71864 are 2, 13, 691. Prime factorization of 71864 in exponential form is:

71864 = 2³ × 13¹ × 691¹

Step-3: Factors of 71846

List of positive integer factors of 71846 that divides 71846 without a remainder.

1, 2, 35923

Step-4: Factors of 71864

List of positive integer factors of 71864 that divides 71846 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 691, 1382, 2764, 5528, 8983, 17966, 35932

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71846 and 71864. The biggest common factor number is the GCF number.
So the greatest common factor 71846 and 71864 is 2.

Also check out the Least Common Multiple of 71846 and 71864