What is the Greatest Common Factor of 98109 and 98120?

Greatest common factor (GCF) of 98109 and 98120 is 11.

GCF(98109,98120) = 11

We will now calculate the prime factors of 98109 and 98120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98109 and 98120.

How to find the GCF of 98109 and 98120?

We will first find the prime factorization of 98109 and 98120. After we will calculate the factors of 98109 and 98120 and find the biggest common factor number .

Step-1: Prime Factorization of 98109

Prime factors of 98109 are 3, 11, 991. Prime factorization of 98109 in exponential form is:

98109 = 3² × 11¹ × 991¹

Step-2: Prime Factorization of 98120

Prime factors of 98120 are 2, 5, 11, 223. Prime factorization of 98120 in exponential form is:

98120 = 2³ × 5¹ × 11¹ × 223¹

Step-3: Factors of 98109

List of positive integer factors of 98109 that divides 98109 without a remainder.

1, 3, 9, 11, 33, 99, 991, 2973, 8919, 10901, 32703

Step-4: Factors of 98120

List of positive integer factors of 98120 that divides 98109 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 223, 440, 446, 892, 1115, 1784, 2230, 2453, 4460, 4906, 8920, 9812, 12265, 19624, 24530, 49060

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98109 and 98120. The biggest common factor number is the GCF number.
So the greatest common factor 98109 and 98120 is 11.

Also check out the Least Common Multiple of 98109 and 98120