What is the Greatest Common Factor of 96540 and 96550?

Greatest common factor (GCF) of 96540 and 96550 is 10.

GCF(96540,96550) = 10

We will now calculate the prime factors of 96540 and 96550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96540 and 96550.

How to find the GCF of 96540 and 96550?

We will first find the prime factorization of 96540 and 96550. After we will calculate the factors of 96540 and 96550 and find the biggest common factor number .

Step-1: Prime Factorization of 96540

Prime factors of 96540 are 2, 3, 5, 1609. Prime factorization of 96540 in exponential form is:

96540 = 2² × 3¹ × 5¹ × 1609¹

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 96540

List of positive integer factors of 96540 that divides 96540 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1609, 3218, 4827, 6436, 8045, 9654, 16090, 19308, 24135, 32180, 48270

Step-4: Factors of 96550

List of positive integer factors of 96550 that divides 96540 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 96540 and 96550. The biggest common factor number is the GCF number.
So the greatest common factor 96540 and 96550 is 10.

Also check out the Least Common Multiple of 96540 and 96550