What is the Greatest Common Factor of 71770 and 71785?

Greatest common factor (GCF) of 71770 and 71785 is 5.

GCF(71770,71785) = 5

We will now calculate the prime factors of 71770 and 71785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71770 and 71785.

How to find the GCF of 71770 and 71785?

We will first find the prime factorization of 71770 and 71785. After we will calculate the factors of 71770 and 71785 and find the biggest common factor number .

Step-1: Prime Factorization of 71770

Prime factors of 71770 are 2, 5, 7177. Prime factorization of 71770 in exponential form is:

71770 = 2¹ × 5¹ × 7177¹

Step-2: 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-3: Factors of 71770

List of positive integer factors of 71770 that divides 71770 without a remainder.

1, 2, 5, 10, 7177, 14354, 35885

Step-4: Factors of 71785

List of positive integer factors of 71785 that divides 71770 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71770 and 71785. The biggest common factor number is the GCF number.
So the greatest common factor 71770 and 71785 is 5.

Also check out the Least Common Multiple of 71770 and 71785