What is the Greatest Common Factor of 43038 and 43054?

Greatest common factor (GCF) of 43038 and 43054 is 2.

GCF(43038,43054) = 2

We will now calculate the prime factors of 43038 and 43054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43038 and 43054.

How to find the GCF of 43038 and 43054?

We will first find the prime factorization of 43038 and 43054. After we will calculate the factors of 43038 and 43054 and find the biggest common factor number .

Step-1: Prime Factorization of 43038

Prime factors of 43038 are 2, 3, 797. Prime factorization of 43038 in exponential form is:

43038 = 2¹ × 3³ × 797¹

Step-2: Prime Factorization of 43054

Prime factors of 43054 are 2, 11, 19, 103. Prime factorization of 43054 in exponential form is:

43054 = 2¹ × 11¹ × 19¹ × 103¹

Step-3: Factors of 43038

List of positive integer factors of 43038 that divides 43038 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 797, 1594, 2391, 4782, 7173, 14346, 21519

Step-4: Factors of 43054

List of positive integer factors of 43054 that divides 43038 without a remainder.

1, 2, 11, 19, 22, 38, 103, 206, 209, 418, 1133, 1957, 2266, 3914, 21527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43038 and 43054. The biggest common factor number is the GCF number.
So the greatest common factor 43038 and 43054 is 2.

Also check out the Least Common Multiple of 43038 and 43054