What is the Greatest Common Factor of 97730 and 97750?

Greatest common factor (GCF) of 97730 and 97750 is 10.

GCF(97730,97750) = 10

We will now calculate the prime factors of 97730 and 97750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97730 and 97750.

How to find the GCF of 97730 and 97750?

We will first find the prime factorization of 97730 and 97750. After we will calculate the factors of 97730 and 97750 and find the biggest common factor number .

Step-1: Prime Factorization of 97730

Prime factors of 97730 are 2, 5, 29, 337. Prime factorization of 97730 in exponential form is:

97730 = 2¹ × 5¹ × 29¹ × 337¹

Step-2: Prime Factorization of 97750

Prime factors of 97750 are 2, 5, 17, 23. Prime factorization of 97750 in exponential form is:

97750 = 2¹ × 5³ × 17¹ × 23¹

Step-3: Factors of 97730

List of positive integer factors of 97730 that divides 97730 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290, 337, 674, 1685, 3370, 9773, 19546, 48865

Step-4: Factors of 97750

List of positive integer factors of 97750 that divides 97730 without a remainder.

1, 2, 5, 10, 17, 23, 25, 34, 46, 50, 85, 115, 125, 170, 230, 250, 391, 425, 575, 782, 850, 1150, 1955, 2125, 2875, 3910, 4250, 5750, 9775, 19550, 48875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97730 and 97750. The biggest common factor number is the GCF number.
So the greatest common factor 97730 and 97750 is 10.

Also check out the Least Common Multiple of 97730 and 97750