What is the Greatest Common Factor of 96545 and 96550?

Greatest common factor (GCF) of 96545 and 96550 is 5.

GCF(96545,96550) = 5

We will now calculate the prime factors of 96545 and 96550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96545 and 96550.

How to find the GCF of 96545 and 96550?

We will first find the prime factorization of 96545 and 96550. After we will calculate the factors of 96545 and 96550 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 96550

Prime factors of 96550 are 2, 5, 1931. Prime factorization of 96550 in exponential form is:

96550 = 2¹ × 5² × 1931¹

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 96550

List of positive integer factors of 96550 that divides 96545 without a remainder.

1, 2, 5, 10, 25, 50, 1931, 3862, 9655, 19310, 48275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96545 and 96550. The biggest common factor number is the GCF number.
So the greatest common factor 96545 and 96550 is 5.

Also check out the Least Common Multiple of 96545 and 96550