What is the Greatest Common Factor of 83020 and 83026?

Greatest common factor (GCF) of 83020 and 83026 is 2.

GCF(83020,83026) = 2

We will now calculate the prime factors of 83020 and 83026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83020 and 83026.

How to find the GCF of 83020 and 83026?

We will first find the prime factorization of 83020 and 83026. After we will calculate the factors of 83020 and 83026 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 83026

Prime factors of 83026 are 2, 41513. Prime factorization of 83026 in exponential form is:

83026 = 2¹ × 41513¹

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 83026

List of positive integer factors of 83026 that divides 83020 without a remainder.

1, 2, 41513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83020 and 83026. The biggest common factor number is the GCF number.
So the greatest common factor 83020 and 83026 is 2.

Also check out the Least Common Multiple of 83020 and 83026