What is the Greatest Common Factor of 83045 and 83065?

Greatest common factor (GCF) of 83045 and 83065 is 5.

GCF(83045,83065) = 5

We will now calculate the prime factors of 83045 and 83065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83045 and 83065.

How to find the GCF of 83045 and 83065?

We will first find the prime factorization of 83045 and 83065. After we will calculate the factors of 83045 and 83065 and find the biggest common factor number .

Step-1: Prime Factorization of 83045

Prime factors of 83045 are 5, 17, 977. Prime factorization of 83045 in exponential form is:

83045 = 5¹ × 17¹ × 977¹

Step-2: Prime Factorization of 83065

Prime factors of 83065 are 5, 37, 449. Prime factorization of 83065 in exponential form is:

83065 = 5¹ × 37¹ × 449¹

Step-3: Factors of 83045

List of positive integer factors of 83045 that divides 83045 without a remainder.

1, 5, 17, 85, 977, 4885, 16609

Step-4: Factors of 83065

List of positive integer factors of 83065 that divides 83045 without a remainder.

1, 5, 37, 185, 449, 2245, 16613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83045 and 83065. The biggest common factor number is the GCF number.
So the greatest common factor 83045 and 83065 is 5.

Also check out the Least Common Multiple of 83045 and 83065