What is the Greatest Common Factor of 40573 and 40586?

Greatest common factor (GCF) of 40573 and 40586 is 13.

GCF(40573,40586) = 13

We will now calculate the prime factors of 40573 and 40586, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40573 and 40586.

How to find the GCF of 40573 and 40586?

We will first find the prime factorization of 40573 and 40586. After we will calculate the factors of 40573 and 40586 and find the biggest common factor number .

Step-1: Prime Factorization of 40573

Prime factors of 40573 are 13, 3121. Prime factorization of 40573 in exponential form is:

40573 = 13¹ × 3121¹

Step-2: Prime Factorization of 40586

Prime factors of 40586 are 2, 7, 13, 223. Prime factorization of 40586 in exponential form is:

40586 = 2¹ × 7¹ × 13¹ × 223¹

Step-3: Factors of 40573

List of positive integer factors of 40573 that divides 40573 without a remainder.

1, 13, 3121

Step-4: Factors of 40586

List of positive integer factors of 40586 that divides 40573 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 223, 446, 1561, 2899, 3122, 5798, 20293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40573 and 40586. The biggest common factor number is the GCF number.
So the greatest common factor 40573 and 40586 is 13.

Also check out the Least Common Multiple of 40573 and 40586