What is the Greatest Common Factor of 97776 and 97788?

Greatest common factor (GCF) of 97776 and 97788 is 12.

GCF(97776,97788) = 12

We will now calculate the prime factors of 97776 and 97788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97776 and 97788.

How to find the GCF of 97776 and 97788?

We will first find the prime factorization of 97776 and 97788. After we will calculate the factors of 97776 and 97788 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97788

Prime factors of 97788 are 2, 3, 29, 281. Prime factorization of 97788 in exponential form is:

97788 = 2² × 3¹ × 29¹ × 281¹

Step-3: Factors of 97776

List of positive integer factors of 97776 that divides 97776 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

Step-4: Factors of 97788

List of positive integer factors of 97788 that divides 97776 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 281, 348, 562, 843, 1124, 1686, 3372, 8149, 16298, 24447, 32596, 48894

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97776 and 97788. The biggest common factor number is the GCF number.
So the greatest common factor 97776 and 97788 is 12.

Also check out the Least Common Multiple of 97776 and 97788