What is the Greatest Common Factor of 97776 and 97782?

Greatest common factor (GCF) of 97776 and 97782 is 6.

GCF(97776,97782) = 6

We will now calculate the prime factors of 97776 and 97782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97776 and 97782.

How to find the GCF of 97776 and 97782?

We will first find the prime factorization of 97776 and 97782. After we will calculate the factors of 97776 and 97782 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 97782

Prime factors of 97782 are 2, 3, 43, 379. Prime factorization of 97782 in exponential form is:

97782 = 2¹ × 3¹ × 43¹ × 379¹

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 97782

List of positive integer factors of 97782 that divides 97776 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258, 379, 758, 1137, 2274, 16297, 32594, 48891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97776 and 97782. The biggest common factor number is the GCF number.
So the greatest common factor 97776 and 97782 is 6.

Also check out the Least Common Multiple of 97776 and 97782