What is the Greatest Common Factor of 43254 and 43268?

Greatest common factor (GCF) of 43254 and 43268 is 2.

GCF(43254,43268) = 2

We will now calculate the prime factors of 43254 and 43268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43254 and 43268.

How to find the GCF of 43254 and 43268?

We will first find the prime factorization of 43254 and 43268. After we will calculate the factors of 43254 and 43268 and find the biggest common factor number .

Step-1: Prime Factorization of 43254

Prime factors of 43254 are 2, 3, 89. Prime factorization of 43254 in exponential form is:

43254 = 2¹ × 3⁵ × 89¹

Step-2: Prime Factorization of 43268

Prime factors of 43268 are 2, 29, 373. Prime factorization of 43268 in exponential form is:

43268 = 2² × 29¹ × 373¹

Step-3: Factors of 43254

List of positive integer factors of 43254 that divides 43254 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 89, 162, 178, 243, 267, 486, 534, 801, 1602, 2403, 4806, 7209, 14418, 21627

Step-4: Factors of 43268

List of positive integer factors of 43268 that divides 43254 without a remainder.

1, 2, 4, 29, 58, 116, 373, 746, 1492, 10817, 21634

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43254 and 43268. The biggest common factor number is the GCF number.
So the greatest common factor 43254 and 43268 is 2.

Also check out the Least Common Multiple of 43254 and 43268