What is the Greatest Common Factor of 96545 and 96565?

Greatest common factor (GCF) of 96545 and 96565 is 5.

GCF(96545,96565) = 5

We will now calculate the prime factors of 96545 and 96565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96545 and 96565.

How to find the GCF of 96545 and 96565?

We will first find the prime factorization of 96545 and 96565. After we will calculate the factors of 96545 and 96565 and find the biggest common factor number .

Step-1: Prime Factorization of 96545

Prime factors of 96545 are 5, 19309. Prime factorization of 96545 in exponential form is:

96545 = 5¹ × 19309¹

Step-2: Prime Factorization of 96565

Prime factors of 96565 are 5, 7, 31, 89. Prime factorization of 96565 in exponential form is:

96565 = 5¹ × 7¹ × 31¹ × 89¹

Step-3: Factors of 96545

List of positive integer factors of 96545 that divides 96545 without a remainder.

1, 5, 19309

Step-4: Factors of 96565

List of positive integer factors of 96565 that divides 96545 without a remainder.

1, 5, 7, 31, 35, 89, 155, 217, 445, 623, 1085, 2759, 3115, 13795, 19313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96545 and 96565. The biggest common factor number is the GCF number.
So the greatest common factor 96545 and 96565 is 5.

Also check out the Least Common Multiple of 96545 and 96565