What is the Greatest Common Factor of 97888 and 97896?

Greatest common factor (GCF) of 97888 and 97896 is 8.

GCF(97888,97896) = 8

We will now calculate the prime factors of 97888 and 97896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97888 and 97896.

How to find the GCF of 97888 and 97896?

We will first find the prime factorization of 97888 and 97896. After we will calculate the factors of 97888 and 97896 and find the biggest common factor number .

Step-1: Prime Factorization of 97888

Prime factors of 97888 are 2, 7, 19, 23. Prime factorization of 97888 in exponential form is:

97888 = 2⁵ × 7¹ × 19¹ × 23¹

Step-2: Prime Factorization of 97896

Prime factors of 97896 are 2, 3, 4079. Prime factorization of 97896 in exponential form is:

97896 = 2³ × 3¹ × 4079¹

Step-3: Factors of 97888

List of positive integer factors of 97888 that divides 97888 without a remainder.

1, 2, 4, 7, 8, 14, 16, 19, 23, 28, 32, 38, 46, 56, 76, 92, 112, 133, 152, 161, 184, 224, 266, 304, 322, 368, 437, 532, 608, 644, 736, 874, 1064, 1288, 1748, 2128, 2576, 3059, 3496, 4256, 5152, 6118, 6992, 12236, 13984, 24472, 48944

Step-4: Factors of 97896

List of positive integer factors of 97896 that divides 97888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 4079, 8158, 12237, 16316, 24474, 32632, 48948

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97888 and 97896. The biggest common factor number is the GCF number.
So the greatest common factor 97888 and 97896 is 8.

Also check out the Least Common Multiple of 97888 and 97896