What is the Greatest Common Factor of 98054 and 98065?

Greatest common factor (GCF) of 98054 and 98065 is 11.

GCF(98054,98065) = 11

We will now calculate the prime factors of 98054 and 98065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98054 and 98065.

How to find the GCF of 98054 and 98065?

We will first find the prime factorization of 98054 and 98065. After we will calculate the factors of 98054 and 98065 and find the biggest common factor number .

Step-1: Prime Factorization of 98054

Prime factors of 98054 are 2, 11, 4457. Prime factorization of 98054 in exponential form is:

98054 = 2¹ × 11¹ × 4457¹

Step-2: Prime Factorization of 98065

Prime factors of 98065 are 5, 11, 1783. Prime factorization of 98065 in exponential form is:

98065 = 5¹ × 11¹ × 1783¹

Step-3: Factors of 98054

List of positive integer factors of 98054 that divides 98054 without a remainder.

1, 2, 11, 22, 4457, 8914, 49027

Step-4: Factors of 98065

List of positive integer factors of 98065 that divides 98054 without a remainder.

1, 5, 11, 55, 1783, 8915, 19613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98054 and 98065. The biggest common factor number is the GCF number.
So the greatest common factor 98054 and 98065 is 11.

Also check out the Least Common Multiple of 98054 and 98065