What is the Greatest Common Factor of 97983 and 98002?

Greatest common factor (GCF) of 97983 and 98002 is 19.

GCF(97983,98002) = 19

We will now calculate the prime factors of 97983 and 98002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97983 and 98002.

How to find the GCF of 97983 and 98002?

We will first find the prime factorization of 97983 and 98002. After we will calculate the factors of 97983 and 98002 and find the biggest common factor number .

Step-1: Prime Factorization of 97983

Prime factors of 97983 are 3, 19, 191. Prime factorization of 97983 in exponential form is:

97983 = 3³ × 19¹ × 191¹

Step-2: Prime Factorization of 98002

Prime factors of 98002 are 2, 19, 2579. Prime factorization of 98002 in exponential form is:

98002 = 2¹ × 19¹ × 2579¹

Step-3: Factors of 97983

List of positive integer factors of 97983 that divides 97983 without a remainder.

1, 3, 9, 19, 27, 57, 171, 191, 513, 573, 1719, 3629, 5157, 10887, 32661

Step-4: Factors of 98002

List of positive integer factors of 98002 that divides 97983 without a remainder.

1, 2, 19, 38, 2579, 5158, 49001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97983 and 98002. The biggest common factor number is the GCF number.
So the greatest common factor 97983 and 98002 is 19.

Also check out the Least Common Multiple of 97983 and 98002