What is the Greatest Common Factor of 97884 and 97888?

Greatest common factor (GCF) of 97884 and 97888 is 4.

GCF(97884,97888) = 4

We will now calculate the prime factors of 97884 and 97888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97884 and 97888.

How to find the GCF of 97884 and 97888?

We will first find the prime factorization of 97884 and 97888. After we will calculate the factors of 97884 and 97888 and find the biggest common factor number .

Step-1: Prime Factorization of 97884

Prime factors of 97884 are 2, 3, 2719. Prime factorization of 97884 in exponential form is:

97884 = 2² × 3² × 2719¹

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 97884

List of positive integer factors of 97884 that divides 97884 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2719, 5438, 8157, 10876, 16314, 24471, 32628, 48942

Step-4: Factors of 97888

List of positive integer factors of 97888 that divides 97884 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 97884 and 97888. The biggest common factor number is the GCF number.
So the greatest common factor 97884 and 97888 is 4.

Also check out the Least Common Multiple of 97884 and 97888