What is the Greatest Common Factor of 97472 and 97485?

Greatest common factor (GCF) of 97472 and 97485 is 1.

GCF(97472,97485) = 1

We will now calculate the prime factors of 97472 and 97485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97472 and 97485.

How to find the GCF of 97472 and 97485?

We will first find the prime factorization of 97472 and 97485. After we will calculate the factors of 97472 and 97485 and find the biggest common factor number .

Step-1: Prime Factorization of 97472

Prime factors of 97472 are 2, 1523. Prime factorization of 97472 in exponential form is:

97472 = 2⁶ × 1523¹

Step-2: 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-3: Factors of 97472

List of positive integer factors of 97472 that divides 97472 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1523, 3046, 6092, 12184, 24368, 48736

Step-4: Factors of 97485

List of positive integer factors of 97485 that divides 97472 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97472 and 97485. The biggest common factor number is the GCF number.
So the greatest common factor 97472 and 97485 is 1.

Also check out the Least Common Multiple of 97472 and 97485