What is the Greatest Common Factor of 97988 and 97999?

Greatest common factor (GCF) of 97988 and 97999 is 11.

GCF(97988,97999) = 11

We will now calculate the prime factors of 97988 and 97999, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97988 and 97999.

How to find the GCF of 97988 and 97999?

We will first find the prime factorization of 97988 and 97999. After we will calculate the factors of 97988 and 97999 and find the biggest common factor number .

Step-1: Prime Factorization of 97988

Prime factors of 97988 are 2, 11, 17, 131. Prime factorization of 97988 in exponential form is:

97988 = 2² × 11¹ × 17¹ × 131¹

Step-2: Prime Factorization of 97999

Prime factors of 97999 are 11, 59, 151. Prime factorization of 97999 in exponential form is:

97999 = 11¹ × 59¹ × 151¹

Step-3: Factors of 97988

List of positive integer factors of 97988 that divides 97988 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 131, 187, 262, 374, 524, 748, 1441, 2227, 2882, 4454, 5764, 8908, 24497, 48994

Step-4: Factors of 97999

List of positive integer factors of 97999 that divides 97988 without a remainder.

1, 11, 59, 151, 649, 1661, 8909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97988 and 97999. The biggest common factor number is the GCF number.
So the greatest common factor 97988 and 97999 is 11.

Also check out the Least Common Multiple of 97988 and 97999