What is the Greatest Common Factor of 98090 and 98101?

Greatest common factor (GCF) of 98090 and 98101 is 1.

GCF(98090,98101) = 1

We will now calculate the prime factors of 98090 and 98101, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98090 and 98101.

How to find the GCF of 98090 and 98101?

We will first find the prime factorization of 98090 and 98101. After we will calculate the factors of 98090 and 98101 and find the biggest common factor number .

Step-1: Prime Factorization of 98090

Prime factors of 98090 are 2, 5, 17, 577. Prime factorization of 98090 in exponential form is:

98090 = 2¹ × 5¹ × 17¹ × 577¹

Step-2: Prime Factorization of 98101

Prime factors of 98101 are 98101. Prime factorization of 98101 in exponential form is:

98101 = 98101¹

Step-3: Factors of 98090

List of positive integer factors of 98090 that divides 98090 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 577, 1154, 2885, 5770, 9809, 19618, 49045

Step-4: Factors of 98101

List of positive integer factors of 98101 that divides 98090 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98090 and 98101. The biggest common factor number is the GCF number.
So the greatest common factor 98090 and 98101 is 1.

Also check out the Least Common Multiple of 98090 and 98101