What is the Greatest Common Factor of 43024 and 43028?

Greatest common factor (GCF) of 43024 and 43028 is 4.

GCF(43024,43028) = 4

We will now calculate the prime factors of 43024 and 43028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43024 and 43028.

How to find the GCF of 43024 and 43028?

We will first find the prime factorization of 43024 and 43028. After we will calculate the factors of 43024 and 43028 and find the biggest common factor number .

Step-1: Prime Factorization of 43024

Prime factors of 43024 are 2, 2689. Prime factorization of 43024 in exponential form is:

43024 = 2⁴ × 2689¹

Step-2: Prime Factorization of 43028

Prime factors of 43028 are 2, 31, 347. Prime factorization of 43028 in exponential form is:

43028 = 2² × 31¹ × 347¹

Step-3: Factors of 43024

List of positive integer factors of 43024 that divides 43024 without a remainder.

1, 2, 4, 8, 16, 2689, 5378, 10756, 21512

Step-4: Factors of 43028

List of positive integer factors of 43028 that divides 43024 without a remainder.

1, 2, 4, 31, 62, 124, 347, 694, 1388, 10757, 21514

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43024 and 43028. The biggest common factor number is the GCF number.
So the greatest common factor 43024 and 43028 is 4.

Also check out the Least Common Multiple of 43024 and 43028