What is the Greatest Common Factor of 43268 and 43272?

Greatest common factor (GCF) of 43268 and 43272 is 4.

GCF(43268,43272) = 4

We will now calculate the prime factors of 43268 and 43272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43268 and 43272.

How to find the GCF of 43268 and 43272?

We will first find the prime factorization of 43268 and 43272. After we will calculate the factors of 43268 and 43272 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43272

Prime factors of 43272 are 2, 3, 601. Prime factorization of 43272 in exponential form is:

43272 = 2³ × 3² × 601¹

Step-3: Factors of 43268

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

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

Step-4: Factors of 43272

List of positive integer factors of 43272 that divides 43268 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 601, 1202, 1803, 2404, 3606, 4808, 5409, 7212, 10818, 14424, 21636

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43268 and 43272. The biggest common factor number is the GCF number.
So the greatest common factor 43268 and 43272 is 4.

Also check out the Least Common Multiple of 43268 and 43272