What is the Greatest Common Factor of 90079 and 90098?

Greatest common factor (GCF) of 90079 and 90098 is 19.

GCF(90079,90098) = 19

We will now calculate the prime factors of 90079 and 90098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90079 and 90098.

How to find the GCF of 90079 and 90098?

We will first find the prime factorization of 90079 and 90098. After we will calculate the factors of 90079 and 90098 and find the biggest common factor number .

Step-1: Prime Factorization of 90079

Prime factors of 90079 are 11, 19, 431. Prime factorization of 90079 in exponential form is:

90079 = 11¹ × 19¹ × 431¹

Step-2: Prime Factorization of 90098

Prime factors of 90098 are 2, 19, 2371. Prime factorization of 90098 in exponential form is:

90098 = 2¹ × 19¹ × 2371¹

Step-3: Factors of 90079

List of positive integer factors of 90079 that divides 90079 without a remainder.

1, 11, 19, 209, 431, 4741, 8189

Step-4: Factors of 90098

List of positive integer factors of 90098 that divides 90079 without a remainder.

1, 2, 19, 38, 2371, 4742, 45049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90079 and 90098. The biggest common factor number is the GCF number.
So the greatest common factor 90079 and 90098 is 19.

Also check out the Least Common Multiple of 90079 and 90098