What is the Greatest Common Factor of 97487 and 97500?

Greatest common factor (GCF) of 97487 and 97500 is 13.

GCF(97487,97500) = 13

We will now calculate the prime factors of 97487 and 97500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97487 and 97500.

How to find the GCF of 97487 and 97500?

We will first find the prime factorization of 97487 and 97500. After we will calculate the factors of 97487 and 97500 and find the biggest common factor number .

Step-1: Prime Factorization of 97487

Prime factors of 97487 are 13, 7499. Prime factorization of 97487 in exponential form is:

97487 = 13¹ × 7499¹

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 97487

List of positive integer factors of 97487 that divides 97487 without a remainder.

1, 13, 7499

Step-4: Factors of 97500

List of positive integer factors of 97500 that divides 97487 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 97487 and 97500. The biggest common factor number is the GCF number.
So the greatest common factor 97487 and 97500 is 13.

Also check out the Least Common Multiple of 97487 and 97500