What is the Greatest Common Factor of 98972 and 98990?

Greatest common factor (GCF) of 98972 and 98990 is 2.

GCF(98972,98990) = 2

We will now calculate the prime factors of 98972 and 98990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98972 and 98990.

How to find the GCF of 98972 and 98990?

We will first find the prime factorization of 98972 and 98990. After we will calculate the factors of 98972 and 98990 and find the biggest common factor number .

Step-1: Prime Factorization of 98972

Prime factors of 98972 are 2, 109, 227. Prime factorization of 98972 in exponential form is:

98972 = 2² × 109¹ × 227¹

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 98972

List of positive integer factors of 98972 that divides 98972 without a remainder.

1, 2, 4, 109, 218, 227, 436, 454, 908, 24743, 49486

Step-4: Factors of 98990

List of positive integer factors of 98990 that divides 98972 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 98972 and 98990. The biggest common factor number is the GCF number.
So the greatest common factor 98972 and 98990 is 2.

Also check out the Least Common Multiple of 98972 and 98990