What is the Greatest Common Factor of 71085 and 71105?

Greatest common factor (GCF) of 71085 and 71105 is 5.

GCF(71085,71105) = 5

We will now calculate the prime factors of 71085 and 71105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71085 and 71105.

How to find the GCF of 71085 and 71105?

We will first find the prime factorization of 71085 and 71105. After we will calculate the factors of 71085 and 71105 and find the biggest common factor number .

Step-1: Prime Factorization of 71085

Prime factors of 71085 are 3, 5, 7, 677. Prime factorization of 71085 in exponential form is:

71085 = 3¹ × 5¹ × 7¹ × 677¹

Step-2: Prime Factorization of 71105

Prime factors of 71105 are 5, 14221. Prime factorization of 71105 in exponential form is:

71105 = 5¹ × 14221¹

Step-3: Factors of 71085

List of positive integer factors of 71085 that divides 71085 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 677, 2031, 3385, 4739, 10155, 14217, 23695

Step-4: Factors of 71105

List of positive integer factors of 71105 that divides 71085 without a remainder.

1, 5, 14221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71085 and 71105. The biggest common factor number is the GCF number.
So the greatest common factor 71085 and 71105 is 5.

Also check out the Least Common Multiple of 71085 and 71105