What is the Greatest Common Factor of 97888 and 97907?

Greatest common factor (GCF) of 97888 and 97907 is 19.

GCF(97888,97907) = 19

We will now calculate the prime factors of 97888 and 97907, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97888 and 97907.

How to find the GCF of 97888 and 97907?

We will first find the prime factorization of 97888 and 97907. After we will calculate the factors of 97888 and 97907 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 97907

Prime factors of 97907 are 19, 5153. Prime factorization of 97907 in exponential form is:

97907 = 19¹ × 5153¹

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 97907

List of positive integer factors of 97907 that divides 97888 without a remainder.

1, 19, 5153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97888 and 97907. The biggest common factor number is the GCF number.
So the greatest common factor 97888 and 97907 is 19.

Also check out the Least Common Multiple of 97888 and 97907