What is the Greatest Common Factor of 71659 and 71673?

Greatest common factor (GCF) of 71659 and 71673 is 7.

GCF(71659,71673) = 7

We will now calculate the prime factors of 71659 and 71673, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71659 and 71673.

How to find the GCF of 71659 and 71673?

We will first find the prime factorization of 71659 and 71673. After we will calculate the factors of 71659 and 71673 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71673

Prime factors of 71673 are 3, 7, 3413. Prime factorization of 71673 in exponential form is:

71673 = 3¹ × 7¹ × 3413¹

Step-3: Factors of 71659

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

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

Step-4: Factors of 71673

List of positive integer factors of 71673 that divides 71659 without a remainder.

1, 3, 7, 21, 3413, 10239, 23891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71659 and 71673. The biggest common factor number is the GCF number.
So the greatest common factor 71659 and 71673 is 7.

Also check out the Least Common Multiple of 71659 and 71673