What is the Greatest Common Factor of 43538 and 43552?

Greatest common factor (GCF) of 43538 and 43552 is 2.

GCF(43538,43552) = 2

We will now calculate the prime factors of 43538 and 43552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43538 and 43552.

How to find the GCF of 43538 and 43552?

We will first find the prime factorization of 43538 and 43552. After we will calculate the factors of 43538 and 43552 and find the biggest common factor number .

Step-1: Prime Factorization of 43538

Prime factors of 43538 are 2, 11, 1979. Prime factorization of 43538 in exponential form is:

43538 = 2¹ × 11¹ × 1979¹

Step-2: Prime Factorization of 43552

Prime factors of 43552 are 2, 1361. Prime factorization of 43552 in exponential form is:

43552 = 2⁵ × 1361¹

Step-3: Factors of 43538

List of positive integer factors of 43538 that divides 43538 without a remainder.

1, 2, 11, 22, 1979, 3958, 21769

Step-4: Factors of 43552

List of positive integer factors of 43552 that divides 43538 without a remainder.

1, 2, 4, 8, 16, 32, 1361, 2722, 5444, 10888, 21776

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43538 and 43552. The biggest common factor number is the GCF number.
So the greatest common factor 43538 and 43552 is 2.

Also check out the Least Common Multiple of 43538 and 43552