What is the Greatest Common Factor of 43576 and 43586?

Greatest common factor (GCF) of 43576 and 43586 is 2.

GCF(43576,43586) = 2

We will now calculate the prime factors of 43576 and 43586, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43576 and 43586.

How to find the GCF of 43576 and 43586?

We will first find the prime factorization of 43576 and 43586. After we will calculate the factors of 43576 and 43586 and find the biggest common factor number .

Step-1: Prime Factorization of 43576

Prime factors of 43576 are 2, 13, 419. Prime factorization of 43576 in exponential form is:

43576 = 2³ × 13¹ × 419¹

Step-2: Prime Factorization of 43586

Prime factors of 43586 are 2, 19, 31, 37. Prime factorization of 43586 in exponential form is:

43586 = 2¹ × 19¹ × 31¹ × 37¹

Step-3: Factors of 43576

List of positive integer factors of 43576 that divides 43576 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 419, 838, 1676, 3352, 5447, 10894, 21788

Step-4: Factors of 43586

List of positive integer factors of 43586 that divides 43576 without a remainder.

1, 2, 19, 31, 37, 38, 62, 74, 589, 703, 1147, 1178, 1406, 2294, 21793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43576 and 43586. The biggest common factor number is the GCF number.
So the greatest common factor 43576 and 43586 is 2.

Also check out the Least Common Multiple of 43576 and 43586