What is the Greatest Common Factor of 71785 and 71805?

Greatest common factor (GCF) of 71785 and 71805 is 5.

GCF(71785,71805) = 5

We will now calculate the prime factors of 71785 and 71805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71785 and 71805.

How to find the GCF of 71785 and 71805?

We will first find the prime factorization of 71785 and 71805. After we will calculate the factors of 71785 and 71805 and find the biggest common factor number .

Step-1: Prime Factorization of 71785

Prime factors of 71785 are 5, 7, 293. Prime factorization of 71785 in exponential form is:

71785 = 5¹ × 7² × 293¹

Step-2: Prime Factorization of 71805

Prime factors of 71805 are 3, 5, 4787. Prime factorization of 71805 in exponential form is:

71805 = 3¹ × 5¹ × 4787¹

Step-3: Factors of 71785

List of positive integer factors of 71785 that divides 71785 without a remainder.

1, 5, 7, 35, 49, 245, 293, 1465, 2051, 10255, 14357

Step-4: Factors of 71805

List of positive integer factors of 71805 that divides 71785 without a remainder.

1, 3, 5, 15, 4787, 14361, 23935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71785 and 71805. The biggest common factor number is the GCF number.
So the greatest common factor 71785 and 71805 is 5.

Also check out the Least Common Multiple of 71785 and 71805