What is the Greatest Common Factor of 83024 and 83032?

Greatest common factor (GCF) of 83024 and 83032 is 8.

GCF(83024,83032) = 8

We will now calculate the prime factors of 83024 and 83032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83024 and 83032.

How to find the GCF of 83024 and 83032?

We will first find the prime factorization of 83024 and 83032. After we will calculate the factors of 83024 and 83032 and find the biggest common factor number .

Step-1: Prime Factorization of 83024

Prime factors of 83024 are 2, 5189. Prime factorization of 83024 in exponential form is:

83024 = 2⁴ × 5189¹

Step-2: Prime Factorization of 83032

Prime factors of 83032 are 2, 97, 107. Prime factorization of 83032 in exponential form is:

83032 = 2³ × 97¹ × 107¹

Step-3: Factors of 83024

List of positive integer factors of 83024 that divides 83024 without a remainder.

1, 2, 4, 8, 16, 5189, 10378, 20756, 41512

Step-4: Factors of 83032

List of positive integer factors of 83032 that divides 83024 without a remainder.

1, 2, 4, 8, 97, 107, 194, 214, 388, 428, 776, 856, 10379, 20758, 41516

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83024 and 83032. The biggest common factor number is the GCF number.
So the greatest common factor 83024 and 83032 is 8.

Also check out the Least Common Multiple of 83024 and 83032