What is the Greatest Common Factor of 83590 and 83602?

Greatest common factor (GCF) of 83590 and 83602 is 2.

GCF(83590,83602) = 2

We will now calculate the prime factors of 83590 and 83602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83590 and 83602.

How to find the GCF of 83590 and 83602?

We will first find the prime factorization of 83590 and 83602. After we will calculate the factors of 83590 and 83602 and find the biggest common factor number .

Step-1: Prime Factorization of 83590

Prime factors of 83590 are 2, 5, 13, 643. Prime factorization of 83590 in exponential form is:

83590 = 2¹ × 5¹ × 13¹ × 643¹

Step-2: Prime Factorization of 83602

Prime factors of 83602 are 2, 41801. Prime factorization of 83602 in exponential form is:

83602 = 2¹ × 41801¹

Step-3: Factors of 83590

List of positive integer factors of 83590 that divides 83590 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 643, 1286, 3215, 6430, 8359, 16718, 41795

Step-4: Factors of 83602

List of positive integer factors of 83602 that divides 83590 without a remainder.

1, 2, 41801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83590 and 83602. The biggest common factor number is the GCF number.
So the greatest common factor 83590 and 83602 is 2.

Also check out the Least Common Multiple of 83590 and 83602