What is the Greatest Common Factor of 71658 and 71673?

Greatest common factor (GCF) of 71658 and 71673 is 3.

GCF(71658,71673) = 3

We will now calculate the prime factors of 71658 and 71673, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71658 and 71673.

How to find the GCF of 71658 and 71673?

We will first find the prime factorization of 71658 and 71673. After we will calculate the factors of 71658 and 71673 and find the biggest common factor number .

Step-1: Prime Factorization of 71658

Prime factors of 71658 are 2, 3, 1327. Prime factorization of 71658 in exponential form is:

71658 = 2¹ × 3³ × 1327¹

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 71658

List of positive integer factors of 71658 that divides 71658 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1327, 2654, 3981, 7962, 11943, 23886, 35829

Step-4: Factors of 71673

List of positive integer factors of 71673 that divides 71658 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71658 and 71673. The biggest common factor number is the GCF number.
So the greatest common factor 71658 and 71673 is 3.

Also check out the Least Common Multiple of 71658 and 71673