What is the Greatest Common Factor of 73645 and 73658?

Greatest common factor (GCF) of 73645 and 73658 is 13.

GCF(73645,73658) = 13

We will now calculate the prime factors of 73645 and 73658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73645 and 73658.

How to find the GCF of 73645 and 73658?

We will first find the prime factorization of 73645 and 73658. After we will calculate the factors of 73645 and 73658 and find the biggest common factor number .

Step-1: Prime Factorization of 73645

Prime factors of 73645 are 5, 11, 13, 103. Prime factorization of 73645 in exponential form is:

73645 = 5¹ × 11¹ × 13¹ × 103¹

Step-2: 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-3: Factors of 73645

List of positive integer factors of 73645 that divides 73645 without a remainder.

1, 5, 11, 13, 55, 65, 103, 143, 515, 715, 1133, 1339, 5665, 6695, 14729

Step-4: Factors of 73658

List of positive integer factors of 73658 that divides 73645 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73645 and 73658. The biggest common factor number is the GCF number.
So the greatest common factor 73645 and 73658 is 13.

Also check out the Least Common Multiple of 73645 and 73658