What is the Greatest Common Factor of 97988 and 98005?

Greatest common factor (GCF) of 97988 and 98005 is 17.

GCF(97988,98005) = 17

We will now calculate the prime factors of 97988 and 98005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97988 and 98005.

How to find the GCF of 97988 and 98005?

We will first find the prime factorization of 97988 and 98005. After we will calculate the factors of 97988 and 98005 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 98005

Prime factors of 98005 are 5, 17, 1153. Prime factorization of 98005 in exponential form is:

98005 = 5¹ × 17¹ × 1153¹

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 98005

List of positive integer factors of 98005 that divides 97988 without a remainder.

1, 5, 17, 85, 1153, 5765, 19601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97988 and 98005. The biggest common factor number is the GCF number.
So the greatest common factor 97988 and 98005 is 17.

Also check out the Least Common Multiple of 97988 and 98005