What is the Greatest Common Factor of 99980 and 99998?

Greatest common factor (GCF) of 99980 and 99998 is 2.

GCF(99980,99998) = 2

We will now calculate the prime factors of 99980 and 99998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99980 and 99998.

How to find the GCF of 99980 and 99998?

We will first find the prime factorization of 99980 and 99998. After we will calculate the factors of 99980 and 99998 and find the biggest common factor number .

Step-1: Prime Factorization of 99980

Prime factors of 99980 are 2, 5, 4999. Prime factorization of 99980 in exponential form is:

99980 = 2² × 5¹ × 4999¹

Step-2: Prime Factorization of 99998

Prime factors of 99998 are 2, 49999. Prime factorization of 99998 in exponential form is:

99998 = 2¹ × 49999¹

Step-3: Factors of 99980

List of positive integer factors of 99980 that divides 99980 without a remainder.

1, 2, 4, 5, 10, 20, 4999, 9998, 19996, 24995, 49990

Step-4: Factors of 99998

List of positive integer factors of 99998 that divides 99980 without a remainder.

1, 2, 49999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99980 and 99998. The biggest common factor number is the GCF number.
So the greatest common factor 99980 and 99998 is 2.

Also check out the Least Common Multiple of 99980 and 99998