What is the Greatest Common Factor of 65075 and 65083?

Greatest common factor (GCF) of 65075 and 65083 is 1.

GCF(65075,65083) = 1

We will now calculate the prime factors of 65075 and 65083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65075 and 65083.

How to find the GCF of 65075 and 65083?

We will first find the prime factorization of 65075 and 65083. After we will calculate the factors of 65075 and 65083 and find the biggest common factor number .

Step-1: Prime Factorization of 65075

Prime factors of 65075 are 5, 19, 137. Prime factorization of 65075 in exponential form is:

65075 = 5² × 19¹ × 137¹

Step-2: Prime Factorization of 65083

Prime factors of 65083 are 37, 1759. Prime factorization of 65083 in exponential form is:

65083 = 37¹ × 1759¹

Step-3: Factors of 65075

List of positive integer factors of 65075 that divides 65075 without a remainder.

1, 5, 19, 25, 95, 137, 475, 685, 2603, 3425, 13015

Step-4: Factors of 65083

List of positive integer factors of 65083 that divides 65075 without a remainder.

1, 37, 1759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65075 and 65083. The biggest common factor number is the GCF number.
So the greatest common factor 65075 and 65083 is 1.

Also check out the Least Common Multiple of 65075 and 65083