What is the Greatest Common Factor of 43642 and 43652?

Greatest common factor (GCF) of 43642 and 43652 is 2.

GCF(43642,43652) = 2

We will now calculate the prime factors of 43642 and 43652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43642 and 43652.

How to find the GCF of 43642 and 43652?

We will first find the prime factorization of 43642 and 43652. After we will calculate the factors of 43642 and 43652 and find the biggest common factor number .

Step-1: Prime Factorization of 43642

Prime factors of 43642 are 2, 21821. Prime factorization of 43642 in exponential form is:

43642 = 2¹ × 21821¹

Step-2: Prime Factorization of 43652

Prime factors of 43652 are 2, 7, 1559. Prime factorization of 43652 in exponential form is:

43652 = 2² × 7¹ × 1559¹

Step-3: Factors of 43642

List of positive integer factors of 43642 that divides 43642 without a remainder.

1, 2, 21821

Step-4: Factors of 43652

List of positive integer factors of 43652 that divides 43642 without a remainder.

1, 2, 4, 7, 14, 28, 1559, 3118, 6236, 10913, 21826

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43642 and 43652. The biggest common factor number is the GCF number.
So the greatest common factor 43642 and 43652 is 2.

Also check out the Least Common Multiple of 43642 and 43652