What is the Greatest Common Factor of 97750 and 97760?

Greatest common factor (GCF) of 97750 and 97760 is 10.

GCF(97750,97760) = 10

We will now calculate the prime factors of 97750 and 97760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97750 and 97760.

How to find the GCF of 97750 and 97760?

We will first find the prime factorization of 97750 and 97760. After we will calculate the factors of 97750 and 97760 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97760

Prime factors of 97760 are 2, 5, 13, 47. Prime factorization of 97760 in exponential form is:

97760 = 2⁵ × 5¹ × 13¹ × 47¹

Step-3: Factors of 97750

List of positive integer factors of 97750 that divides 97750 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

Step-4: Factors of 97760

List of positive integer factors of 97760 that divides 97750 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 47, 52, 65, 80, 94, 104, 130, 160, 188, 208, 235, 260, 376, 416, 470, 520, 611, 752, 940, 1040, 1222, 1504, 1880, 2080, 2444, 3055, 3760, 4888, 6110, 7520, 9776, 12220, 19552, 24440, 48880

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97750 and 97760. The biggest common factor number is the GCF number.
So the greatest common factor 97750 and 97760 is 10.

Also check out the Least Common Multiple of 97750 and 97760