What is the Greatest Common Factor of 32416 and 32420?

Greatest common factor (GCF) of 32416 and 32420 is 4.

GCF(32416,32420) = 4

We will now calculate the prime factors of 32416 and 32420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32416 and 32420.

How to find the GCF of 32416 and 32420?

We will first find the prime factorization of 32416 and 32420. After we will calculate the factors of 32416 and 32420 and find the biggest common factor number .

Step-1: Prime Factorization of 32416

Prime factors of 32416 are 2, 1013. Prime factorization of 32416 in exponential form is:

32416 = 2⁵ × 1013¹

Step-2: Prime Factorization of 32420

Prime factors of 32420 are 2, 5, 1621. Prime factorization of 32420 in exponential form is:

32420 = 2² × 5¹ × 1621¹

Step-3: Factors of 32416

List of positive integer factors of 32416 that divides 32416 without a remainder.

1, 2, 4, 8, 16, 32, 1013, 2026, 4052, 8104, 16208

Step-4: Factors of 32420

List of positive integer factors of 32420 that divides 32416 without a remainder.

1, 2, 4, 5, 10, 20, 1621, 3242, 6484, 8105, 16210

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32416 and 32420. The biggest common factor number is the GCF number.
So the greatest common factor 32416 and 32420 is 4.

Also check out the Least Common Multiple of 32416 and 32420