What is the Greatest Common Factor of 97489 and 97500?

Greatest common factor (GCF) of 97489 and 97500 is 1.

GCF(97489,97500) = 1

We will now calculate the prime factors of 97489 and 97500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97489 and 97500.

How to find the GCF of 97489 and 97500?

We will first find the prime factorization of 97489 and 97500. After we will calculate the factors of 97489 and 97500 and find the biggest common factor number .

Step-1: Prime Factorization of 97489

Prime factors of 97489 are 7, 19, 733. Prime factorization of 97489 in exponential form is:

97489 = 7¹ × 19¹ × 733¹

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 97489

List of positive integer factors of 97489 that divides 97489 without a remainder.

1, 7, 19, 133, 733, 5131, 13927

Step-4: Factors of 97500

List of positive integer factors of 97500 that divides 97489 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 97489 and 97500. The biggest common factor number is the GCF number.
So the greatest common factor 97489 and 97500 is 1.

Also check out the Least Common Multiple of 97489 and 97500