What is the Greatest Common Factor of 97870 and 97888?

Greatest common factor (GCF) of 97870 and 97888 is 2.

GCF(97870,97888) = 2

We will now calculate the prime factors of 97870 and 97888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97870 and 97888.

How to find the GCF of 97870 and 97888?

We will first find the prime factorization of 97870 and 97888. After we will calculate the factors of 97870 and 97888 and find the biggest common factor number .

Step-1: Prime Factorization of 97870

Prime factors of 97870 are 2, 5, 9787. Prime factorization of 97870 in exponential form is:

97870 = 2¹ × 5¹ × 9787¹

Step-2: 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-3: Factors of 97870

List of positive integer factors of 97870 that divides 97870 without a remainder.

1, 2, 5, 10, 9787, 19574, 48935

Step-4: Factors of 97888

List of positive integer factors of 97888 that divides 97870 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97870 and 97888. The biggest common factor number is the GCF number.
So the greatest common factor 97870 and 97888 is 2.

Also check out the Least Common Multiple of 97870 and 97888