What is the Greatest Common Factor of 43672 and 43686?

Greatest common factor (GCF) of 43672 and 43686 is 2.

GCF(43672,43686) = 2

We will now calculate the prime factors of 43672 and 43686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43672 and 43686.

How to find the GCF of 43672 and 43686?

We will first find the prime factorization of 43672 and 43686. After we will calculate the factors of 43672 and 43686 and find the biggest common factor number .

Step-1: Prime Factorization of 43672

Prime factors of 43672 are 2, 53, 103. Prime factorization of 43672 in exponential form is:

43672 = 2³ × 53¹ × 103¹

Step-2: Prime Factorization of 43686

Prime factors of 43686 are 2, 3, 809. Prime factorization of 43686 in exponential form is:

43686 = 2¹ × 3³ × 809¹

Step-3: Factors of 43672

List of positive integer factors of 43672 that divides 43672 without a remainder.

1, 2, 4, 8, 53, 103, 106, 206, 212, 412, 424, 824, 5459, 10918, 21836

Step-4: Factors of 43686

List of positive integer factors of 43686 that divides 43672 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 809, 1618, 2427, 4854, 7281, 14562, 21843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43672 and 43686. The biggest common factor number is the GCF number.
So the greatest common factor 43672 and 43686 is 2.

Also check out the Least Common Multiple of 43672 and 43686