What is the Greatest Common Factor of 97760 and 97776?

Greatest common factor (GCF) of 97760 and 97776 is 16.

GCF(97760,97776) = 16

We will now calculate the prime factors of 97760 and 97776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97760 and 97776.

How to find the GCF of 97760 and 97776?

We will first find the prime factorization of 97760 and 97776. After we will calculate the factors of 97760 and 97776 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97776

Prime factors of 97776 are 2, 3, 7, 97. Prime factorization of 97776 in exponential form is:

97776 = 2⁴ × 3² × 7¹ × 97¹

Step-3: Factors of 97760

List of positive integer factors of 97760 that divides 97760 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

Step-4: Factors of 97776

List of positive integer factors of 97776 that divides 97760 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 97, 112, 126, 144, 168, 194, 252, 291, 336, 388, 504, 582, 679, 776, 873, 1008, 1164, 1358, 1552, 1746, 2037, 2328, 2716, 3492, 4074, 4656, 5432, 6111, 6984, 8148, 10864, 12222, 13968, 16296, 24444, 32592, 48888

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97760 and 97776. The biggest common factor number is the GCF number.
So the greatest common factor 97760 and 97776 is 16.

Also check out the Least Common Multiple of 97760 and 97776