What is the Greatest Common Factor of 43014 and 43028?

Greatest common factor (GCF) of 43014 and 43028 is 2.

GCF(43014,43028) = 2

We will now calculate the prime factors of 43014 and 43028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43014 and 43028.

How to find the GCF of 43014 and 43028?

We will first find the prime factorization of 43014 and 43028. After we will calculate the factors of 43014 and 43028 and find the biggest common factor number .

Step-1: Prime Factorization of 43014

Prime factors of 43014 are 2, 3, 67, 107. Prime factorization of 43014 in exponential form is:

43014 = 2¹ × 3¹ × 67¹ × 107¹

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 43014

List of positive integer factors of 43014 that divides 43014 without a remainder.

1, 2, 3, 6, 67, 107, 134, 201, 214, 321, 402, 642, 7169, 14338, 21507

Step-4: Factors of 43028

List of positive integer factors of 43028 that divides 43014 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 43014 and 43028. The biggest common factor number is the GCF number.
So the greatest common factor 43014 and 43028 is 2.

Also check out the Least Common Multiple of 43014 and 43028