What is the Greatest Common Factor of 97481 and 97500?

Greatest common factor (GCF) of 97481 and 97500 is 1.

GCF(97481,97500) = 1

We will now calculate the prime factors of 97481 and 97500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97481 and 97500.

How to find the GCF of 97481 and 97500?

We will first find the prime factorization of 97481 and 97500. After we will calculate the factors of 97481 and 97500 and find the biggest common factor number .

Step-1: Prime Factorization of 97481

Prime factors of 97481 are 43, 2267. Prime factorization of 97481 in exponential form is:

97481 = 43¹ × 2267¹

Step-2: Prime Factorization of 97500

Prime factors of 97500 are 2, 3, 5, 13. Prime factorization of 97500 in exponential form is:

97500 = 2² × 3¹ × 5⁴ × 13¹

Step-3: Factors of 97481

List of positive integer factors of 97481 that divides 97481 without a remainder.

1, 43, 2267

Step-4: Factors of 97500

List of positive integer factors of 97500 that divides 97481 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 125, 130, 150, 156, 195, 250, 260, 300, 325, 375, 390, 500, 625, 650, 750, 780, 975, 1250, 1300, 1500, 1625, 1875, 1950, 2500, 3250, 3750, 3900, 4875, 6500, 7500, 8125, 9750, 16250, 19500, 24375, 32500, 48750

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97481 and 97500. The biggest common factor number is the GCF number.
So the greatest common factor 97481 and 97500 is 1.

Also check out the Least Common Multiple of 97481 and 97500