What is the Greatest Common Factor of 97485 and 97494?

Greatest common factor (GCF) of 97485 and 97494 is 3.

GCF(97485,97494) = 3

We will now calculate the prime factors of 97485 and 97494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97485 and 97494.

How to find the GCF of 97485 and 97494?

We will first find the prime factorization of 97485 and 97494. After we will calculate the factors of 97485 and 97494 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 97494

Prime factors of 97494 are 2, 3, 16249. Prime factorization of 97494 in exponential form is:

97494 = 2¹ × 3¹ × 16249¹

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 97494

List of positive integer factors of 97494 that divides 97485 without a remainder.

1, 2, 3, 6, 16249, 32498, 48747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97485 and 97494. The biggest common factor number is the GCF number.
So the greatest common factor 97485 and 97494 is 3.

Also check out the Least Common Multiple of 97485 and 97494