What is the Greatest Common Factor of 71894 and 71908?

Greatest common factor (GCF) of 71894 and 71908 is 2.

GCF(71894,71908) = 2

We will now calculate the prime factors of 71894 and 71908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71894 and 71908.

How to find the GCF of 71894 and 71908?

We will first find the prime factorization of 71894 and 71908. After we will calculate the factors of 71894 and 71908 and find the biggest common factor number .

Step-1: Prime Factorization of 71894

Prime factors of 71894 are 2, 103, 349. Prime factorization of 71894 in exponential form is:

71894 = 2¹ × 103¹ × 349¹

Step-2: Prime Factorization of 71908

Prime factors of 71908 are 2, 17977. Prime factorization of 71908 in exponential form is:

71908 = 2² × 17977¹

Step-3: Factors of 71894

List of positive integer factors of 71894 that divides 71894 without a remainder.

1, 2, 103, 206, 349, 698, 35947

Step-4: Factors of 71908

List of positive integer factors of 71908 that divides 71894 without a remainder.

1, 2, 4, 17977, 35954

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71894 and 71908. The biggest common factor number is the GCF number.
So the greatest common factor 71894 and 71908 is 2.

Also check out the Least Common Multiple of 71894 and 71908