What is the Greatest Common Factor of 97485 and 97495?

Greatest common factor (GCF) of 97485 and 97495 is 5.

GCF(97485,97495) = 5

We will now calculate the prime factors of 97485 and 97495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97485 and 97495.

How to find the GCF of 97485 and 97495?

We will first find the prime factorization of 97485 and 97495. After we will calculate the factors of 97485 and 97495 and find the biggest common factor number .

Step-1: Prime Factorization of 97485

Prime factors of 97485 are 3, 5, 67, 97. Prime factorization of 97485 in exponential form is:

97485 = 3¹ × 5¹ × 67¹ × 97¹

Step-2: Prime Factorization of 97495

Prime factors of 97495 are 5, 17, 31, 37. Prime factorization of 97495 in exponential form is:

97495 = 5¹ × 17¹ × 31¹ × 37¹

Step-3: Factors of 97485

List of positive integer factors of 97485 that divides 97485 without a remainder.

1, 3, 5, 15, 67, 97, 201, 291, 335, 485, 1005, 1455, 6499, 19497, 32495

Step-4: Factors of 97495

List of positive integer factors of 97495 that divides 97485 without a remainder.

1, 5, 17, 31, 37, 85, 155, 185, 527, 629, 1147, 2635, 3145, 5735, 19499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97485 and 97495. The biggest common factor number is the GCF number.
So the greatest common factor 97485 and 97495 is 5.

Also check out the Least Common Multiple of 97485 and 97495