What is the Greatest Common Factor of 79573 and 79586?

Greatest common factor (GCF) of 79573 and 79586 is 13.

GCF(79573,79586) = 13

We will now calculate the prime factors of 79573 and 79586, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79573 and 79586.

How to find the GCF of 79573 and 79586?

We will first find the prime factorization of 79573 and 79586. After we will calculate the factors of 79573 and 79586 and find the biggest common factor number .

Step-1: Prime Factorization of 79573

Prime factors of 79573 are 13, 6121. Prime factorization of 79573 in exponential form is:

79573 = 13¹ × 6121¹

Step-2: Prime Factorization of 79586

Prime factors of 79586 are 2, 13, 3061. Prime factorization of 79586 in exponential form is:

79586 = 2¹ × 13¹ × 3061¹

Step-3: Factors of 79573

List of positive integer factors of 79573 that divides 79573 without a remainder.

1, 13, 6121

Step-4: Factors of 79586

List of positive integer factors of 79586 that divides 79573 without a remainder.

1, 2, 13, 26, 3061, 6122, 39793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79573 and 79586. The biggest common factor number is the GCF number.
So the greatest common factor 79573 and 79586 is 13.

Also check out the Least Common Multiple of 79573 and 79586