What is the Greatest Common Factor of 97500 and 97510?

Greatest common factor (GCF) of 97500 and 97510 is 10.

GCF(97500,97510) = 10

We will now calculate the prime factors of 97500 and 97510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97500 and 97510.

How to find the GCF of 97500 and 97510?

We will first find the prime factorization of 97500 and 97510. After we will calculate the factors of 97500 and 97510 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97510

Prime factors of 97510 are 2, 5, 7, 199. Prime factorization of 97510 in exponential form is:

97510 = 2¹ × 5¹ × 7² × 199¹

Step-3: Factors of 97500

List of positive integer factors of 97500 that divides 97500 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

Step-4: Factors of 97510

List of positive integer factors of 97510 that divides 97500 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 199, 245, 398, 490, 995, 1393, 1990, 2786, 6965, 9751, 13930, 19502, 48755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97500 and 97510. The biggest common factor number is the GCF number.
So the greatest common factor 97500 and 97510 is 10.

Also check out the Least Common Multiple of 97500 and 97510