What is the Greatest Common Factor of 98971 and 98990?

Greatest common factor (GCF) of 98971 and 98990 is 19.

GCF(98971,98990) = 19

We will now calculate the prime factors of 98971 and 98990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98971 and 98990.

How to find the GCF of 98971 and 98990?

We will first find the prime factorization of 98971 and 98990. After we will calculate the factors of 98971 and 98990 and find the biggest common factor number .

Step-1: Prime Factorization of 98971

Prime factors of 98971 are 19, 5209. Prime factorization of 98971 in exponential form is:

98971 = 19¹ × 5209¹

Step-2: Prime Factorization of 98990

Prime factors of 98990 are 2, 5, 19, 521. Prime factorization of 98990 in exponential form is:

98990 = 2¹ × 5¹ × 19¹ × 521¹

Step-3: Factors of 98971

List of positive integer factors of 98971 that divides 98971 without a remainder.

1, 19, 5209

Step-4: Factors of 98990

List of positive integer factors of 98990 that divides 98971 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 521, 1042, 2605, 5210, 9899, 19798, 49495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98971 and 98990. The biggest common factor number is the GCF number.
So the greatest common factor 98971 and 98990 is 19.

Also check out the Least Common Multiple of 98971 and 98990