What is the Greatest Common Factor of 97761 and 97776?

Greatest common factor (GCF) of 97761 and 97776 is 3.

GCF(97761,97776) = 3

We will now calculate the prime factors of 97761 and 97776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97761 and 97776.

How to find the GCF of 97761 and 97776?

We will first find the prime factorization of 97761 and 97776. After we will calculate the factors of 97761 and 97776 and find the biggest common factor number .

Step-1: Prime Factorization of 97761

Prime factors of 97761 are 3, 32587. Prime factorization of 97761 in exponential form is:

97761 = 3¹ × 32587¹

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 97761

List of positive integer factors of 97761 that divides 97761 without a remainder.

1, 3, 32587

Step-4: Factors of 97776

List of positive integer factors of 97776 that divides 97761 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 97761 and 97776. The biggest common factor number is the GCF number.
So the greatest common factor 97761 and 97776 is 3.

Also check out the Least Common Multiple of 97761 and 97776