What is the Greatest Common Factor of 71645 and 71659?

Greatest common factor (GCF) of 71645 and 71659 is 7.

GCF(71645,71659) = 7

We will now calculate the prime factors of 71645 and 71659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71645 and 71659.

How to find the GCF of 71645 and 71659?

We will first find the prime factorization of 71645 and 71659. After we will calculate the factors of 71645 and 71659 and find the biggest common factor number .

Step-1: Prime Factorization of 71645

Prime factors of 71645 are 5, 7, 23, 89. Prime factorization of 71645 in exponential form is:

71645 = 5¹ × 7¹ × 23¹ × 89¹

Step-2: Prime Factorization of 71659

Prime factors of 71659 are 7, 29, 353. Prime factorization of 71659 in exponential form is:

71659 = 7¹ × 29¹ × 353¹

Step-3: Factors of 71645

List of positive integer factors of 71645 that divides 71645 without a remainder.

1, 5, 7, 23, 35, 89, 115, 161, 445, 623, 805, 2047, 3115, 10235, 14329

Step-4: Factors of 71659

List of positive integer factors of 71659 that divides 71645 without a remainder.

1, 7, 29, 203, 353, 2471, 10237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71645 and 71659. The biggest common factor number is the GCF number.
So the greatest common factor 71645 and 71659 is 7.

Also check out the Least Common Multiple of 71645 and 71659