What is the Greatest Common Factor of 71890 and 71905?

Greatest common factor (GCF) of 71890 and 71905 is 5.

GCF(71890,71905) = 5

We will now calculate the prime factors of 71890 and 71905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71890 and 71905.

How to find the GCF of 71890 and 71905?

We will first find the prime factorization of 71890 and 71905. After we will calculate the factors of 71890 and 71905 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 71905

Prime factors of 71905 are 5, 73, 197. Prime factorization of 71905 in exponential form is:

71905 = 5¹ × 73¹ × 197¹

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 71905

List of positive integer factors of 71905 that divides 71890 without a remainder.

1, 5, 73, 197, 365, 985, 14381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71890 and 71905. The biggest common factor number is the GCF number.
So the greatest common factor 71890 and 71905 is 5.

Also check out the Least Common Multiple of 71890 and 71905