What is the Greatest Common Factor of 97535 and 97540?

Greatest common factor (GCF) of 97535 and 97540 is 5.

GCF(97535,97540) = 5

We will now calculate the prime factors of 97535 and 97540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97535 and 97540.

How to find the GCF of 97535 and 97540?

We will first find the prime factorization of 97535 and 97540. After we will calculate the factors of 97535 and 97540 and find the biggest common factor number .

Step-1: Prime Factorization of 97535

Prime factors of 97535 are 5, 19507. Prime factorization of 97535 in exponential form is:

97535 = 5¹ × 19507¹

Step-2: Prime Factorization of 97540

Prime factors of 97540 are 2, 5, 4877. Prime factorization of 97540 in exponential form is:

97540 = 2² × 5¹ × 4877¹

Step-3: Factors of 97535

List of positive integer factors of 97535 that divides 97535 without a remainder.

1, 5, 19507

Step-4: Factors of 97540

List of positive integer factors of 97540 that divides 97535 without a remainder.

1, 2, 4, 5, 10, 20, 4877, 9754, 19508, 24385, 48770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97535 and 97540. The biggest common factor number is the GCF number.
So the greatest common factor 97535 and 97540 is 5.

Also check out the Least Common Multiple of 97535 and 97540