What is the Greatest Common Factor of 89980 and 89998?

Greatest common factor (GCF) of 89980 and 89998 is 2.

GCF(89980,89998) = 2

We will now calculate the prime factors of 89980 and 89998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89980 and 89998.

How to find the GCF of 89980 and 89998?

We will first find the prime factorization of 89980 and 89998. After we will calculate the factors of 89980 and 89998 and find the biggest common factor number .

Step-1: Prime Factorization of 89980

Prime factors of 89980 are 2, 5, 11, 409. Prime factorization of 89980 in exponential form is:

89980 = 2² × 5¹ × 11¹ × 409¹

Step-2: Prime Factorization of 89998

Prime factors of 89998 are 2, 17, 2647. Prime factorization of 89998 in exponential form is:

89998 = 2¹ × 17¹ × 2647¹

Step-3: Factors of 89980

List of positive integer factors of 89980 that divides 89980 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 409, 818, 1636, 2045, 4090, 4499, 8180, 8998, 17996, 22495, 44990

Step-4: Factors of 89998

List of positive integer factors of 89998 that divides 89980 without a remainder.

1, 2, 17, 34, 2647, 5294, 44999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89980 and 89998. The biggest common factor number is the GCF number.
So the greatest common factor 89980 and 89998 is 2.

Also check out the Least Common Multiple of 89980 and 89998