What is the Greatest Common Factor of 43432 and 43438?

Greatest common factor (GCF) of 43432 and 43438 is 2.

GCF(43432,43438) = 2

We will now calculate the prime factors of 43432 and 43438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43432 and 43438.

How to find the GCF of 43432 and 43438?

We will first find the prime factorization of 43432 and 43438. After we will calculate the factors of 43432 and 43438 and find the biggest common factor number .

Step-1: Prime Factorization of 43432

Prime factors of 43432 are 2, 61, 89. Prime factorization of 43432 in exponential form is:

43432 = 2³ × 61¹ × 89¹

Step-2: Prime Factorization of 43438

Prime factors of 43438 are 2, 37, 587. Prime factorization of 43438 in exponential form is:

43438 = 2¹ × 37¹ × 587¹

Step-3: Factors of 43432

List of positive integer factors of 43432 that divides 43432 without a remainder.

1, 2, 4, 8, 61, 89, 122, 178, 244, 356, 488, 712, 5429, 10858, 21716

Step-4: Factors of 43438

List of positive integer factors of 43438 that divides 43432 without a remainder.

1, 2, 37, 74, 587, 1174, 21719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43432 and 43438. The biggest common factor number is the GCF number.
So the greatest common factor 43432 and 43438 is 2.

Also check out the Least Common Multiple of 43432 and 43438