What is the Greatest Common Factor of 96540 and 96548?

Greatest common factor (GCF) of 96540 and 96548 is 4.

GCF(96540,96548) = 4

We will now calculate the prime factors of 96540 and 96548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96540 and 96548.

How to find the GCF of 96540 and 96548?

We will first find the prime factorization of 96540 and 96548. After we will calculate the factors of 96540 and 96548 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 96548

Prime factors of 96548 are 2, 24137. Prime factorization of 96548 in exponential form is:

96548 = 2² × 24137¹

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 96548

List of positive integer factors of 96548 that divides 96540 without a remainder.

1, 2, 4, 24137, 48274

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96540 and 96548. The biggest common factor number is the GCF number.
So the greatest common factor 96540 and 96548 is 4.

Also check out the Least Common Multiple of 96540 and 96548