What is the Greatest Common Factor of 73658 and 73671?

Greatest common factor (GCF) of 73658 and 73671 is 13.

GCF(73658,73671) = 13

We will now calculate the prime factors of 73658 and 73671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73658 and 73671.

How to find the GCF of 73658 and 73671?

We will first find the prime factorization of 73658 and 73671. After we will calculate the factors of 73658 and 73671 and find the biggest common factor number .

Step-1: Prime Factorization of 73658

Prime factors of 73658 are 2, 13, 2833. Prime factorization of 73658 in exponential form is:

73658 = 2¹ × 13¹ × 2833¹

Step-2: Prime Factorization of 73671

Prime factors of 73671 are 3, 13, 1889. Prime factorization of 73671 in exponential form is:

73671 = 3¹ × 13¹ × 1889¹

Step-3: Factors of 73658

List of positive integer factors of 73658 that divides 73658 without a remainder.

1, 2, 13, 26, 2833, 5666, 36829

Step-4: Factors of 73671

List of positive integer factors of 73671 that divides 73658 without a remainder.

1, 3, 13, 39, 1889, 5667, 24557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73658 and 73671. The biggest common factor number is the GCF number.
So the greatest common factor 73658 and 73671 is 13.

Also check out the Least Common Multiple of 73658 and 73671