What is the Greatest Common Factor of 83020 and 83027?

Greatest common factor (GCF) of 83020 and 83027 is 7.

GCF(83020,83027) = 7

We will now calculate the prime factors of 83020 and 83027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83020 and 83027.

How to find the GCF of 83020 and 83027?

We will first find the prime factorization of 83020 and 83027. After we will calculate the factors of 83020 and 83027 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 83027

Prime factors of 83027 are 7, 29, 409. Prime factorization of 83027 in exponential form is:

83027 = 7¹ × 29¹ × 409¹

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 83027

List of positive integer factors of 83027 that divides 83020 without a remainder.

1, 7, 29, 203, 409, 2863, 11861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83020 and 83027. The biggest common factor number is the GCF number.
So the greatest common factor 83020 and 83027 is 7.

Also check out the Least Common Multiple of 83020 and 83027