What is the Greatest Common Factor of 71890 and 71908?

Greatest common factor (GCF) of 71890 and 71908 is 2.

GCF(71890,71908) = 2

We will now calculate the prime factors of 71890 and 71908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71890 and 71908.

How to find the GCF of 71890 and 71908?

We will first find the prime factorization of 71890 and 71908. After we will calculate the factors of 71890 and 71908 and find the biggest common factor number .

Step-1: Prime Factorization of 71890

Prime factors of 71890 are 2, 5, 7, 13, 79. Prime factorization of 71890 in exponential form is:

71890 = 2¹ × 5¹ × 7¹ × 13¹ × 79¹

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 71890

List of positive integer factors of 71890 that divides 71890 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 79, 91, 130, 158, 182, 395, 455, 553, 790, 910, 1027, 1106, 2054, 2765, 5135, 5530, 7189, 10270, 14378, 35945

Step-4: Factors of 71908

List of positive integer factors of 71908 that divides 71890 without a remainder.

1, 2, 4, 17977, 35954

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71890 and 71908. The biggest common factor number is the GCF number.
So the greatest common factor 71890 and 71908 is 2.

Also check out the Least Common Multiple of 71890 and 71908