What is the Greatest Common Factor of 43652 and 43666?

Greatest common factor (GCF) of 43652 and 43666 is 14.

GCF(43652,43666) = 14

We will now calculate the prime factors of 43652 and 43666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43652 and 43666.

How to find the GCF of 43652 and 43666?

We will first find the prime factorization of 43652 and 43666. After we will calculate the factors of 43652 and 43666 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43666

Prime factors of 43666 are 2, 7, 3119. Prime factorization of 43666 in exponential form is:

43666 = 2¹ × 7¹ × 3119¹

Step-3: Factors of 43652

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

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

Step-4: Factors of 43666

List of positive integer factors of 43666 that divides 43652 without a remainder.

1, 2, 7, 14, 3119, 6238, 21833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43652 and 43666. The biggest common factor number is the GCF number.
So the greatest common factor 43652 and 43666 is 14.

Also check out the Least Common Multiple of 43652 and 43666