What is the Greatest Common Factor of 43552 and 43564?

Greatest common factor (GCF) of 43552 and 43564 is 4.

GCF(43552,43564) = 4

We will now calculate the prime factors of 43552 and 43564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43552 and 43564.

How to find the GCF of 43552 and 43564?

We will first find the prime factorization of 43552 and 43564. After we will calculate the factors of 43552 and 43564 and find the biggest common factor number .

Step-1: Prime Factorization of 43552

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

43552 = 2⁵ × 1361¹

Step-2: Prime Factorization of 43564

Prime factors of 43564 are 2, 10891. Prime factorization of 43564 in exponential form is:

43564 = 2² × 10891¹

Step-3: Factors of 43552

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

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

Step-4: Factors of 43564

List of positive integer factors of 43564 that divides 43552 without a remainder.

1, 2, 4, 10891, 21782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43552 and 43564. The biggest common factor number is the GCF number.
So the greatest common factor 43552 and 43564 is 4.

Also check out the Least Common Multiple of 43552 and 43564