What is the Greatest Common Factor of 83002 and 83020?

Greatest common factor (GCF) of 83002 and 83020 is 2.

GCF(83002,83020) = 2

We will now calculate the prime factors of 83002 and 83020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83002 and 83020.

How to find the GCF of 83002 and 83020?

We will first find the prime factorization of 83002 and 83020. After we will calculate the factors of 83002 and 83020 and find the biggest common factor number .

Step-1: Prime Factorization of 83002

Prime factors of 83002 are 2, 47, 883. Prime factorization of 83002 in exponential form is:

83002 = 2¹ × 47¹ × 883¹

Step-2: 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-3: Factors of 83002

List of positive integer factors of 83002 that divides 83002 without a remainder.

1, 2, 47, 94, 883, 1766, 41501

Step-4: Factors of 83020

List of positive integer factors of 83020 that divides 83002 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83002 and 83020. The biggest common factor number is the GCF number.
So the greatest common factor 83002 and 83020 is 2.

Also check out the Least Common Multiple of 83002 and 83020