What is the Greatest Common Factor of 97535 and 97545?

Greatest common factor (GCF) of 97535 and 97545 is 5.

GCF(97535,97545) = 5

We will now calculate the prime factors of 97535 and 97545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97535 and 97545.

How to find the GCF of 97535 and 97545?

We will first find the prime factorization of 97535 and 97545. After we will calculate the factors of 97535 and 97545 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 97545

Prime factors of 97545 are 3, 5, 7, 929. Prime factorization of 97545 in exponential form is:

97545 = 3¹ × 5¹ × 7¹ × 929¹

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 97545

List of positive integer factors of 97545 that divides 97535 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 929, 2787, 4645, 6503, 13935, 19509, 32515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97535 and 97545. The biggest common factor number is the GCF number.
So the greatest common factor 97535 and 97545 is 5.

Also check out the Least Common Multiple of 97535 and 97545