What is the Greatest Common Factor of 83020 and 83024?

Greatest common factor (GCF) of 83020 and 83024 is 4.

GCF(83020,83024) = 4

We will now calculate the prime factors of 83020 and 83024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83020 and 83024.

How to find the GCF of 83020 and 83024?

We will first find the prime factorization of 83020 and 83024. After we will calculate the factors of 83020 and 83024 and find the biggest common factor number .

Step-1: Prime Factorization of 83020

Prime factors of 83020 are 2, 5, 7, 593. Prime factorization of 83020 in exponential form is:

83020 = 2² × 5¹ × 7¹ × 593¹

Step-2: Prime Factorization of 83024

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

83024 = 2⁴ × 5189¹

Step-3: Factors of 83020

List of positive integer factors of 83020 that divides 83020 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 593, 1186, 2372, 2965, 4151, 5930, 8302, 11860, 16604, 20755, 41510

Step-4: Factors of 83024

List of positive integer factors of 83024 that divides 83020 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83020 and 83024. The biggest common factor number is the GCF number.
So the greatest common factor 83020 and 83024 is 4.

Also check out the Least Common Multiple of 83020 and 83024