What is the Greatest Common Factor of 98461 and 98468?

Greatest common factor (GCF) of 98461 and 98468 is 1.

GCF(98461,98468) = 1

We will now calculate the prime factors of 98461 and 98468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98461 and 98468.

How to find the GCF of 98461 and 98468?

We will first find the prime factorization of 98461 and 98468. After we will calculate the factors of 98461 and 98468 and find the biggest common factor number .

Step-1: Prime Factorization of 98461

Prime factors of 98461 are 11, 8951. Prime factorization of 98461 in exponential form is:

98461 = 11¹ × 8951¹

Step-2: Prime Factorization of 98468

Prime factors of 98468 are 2, 103, 239. Prime factorization of 98468 in exponential form is:

98468 = 2² × 103¹ × 239¹

Step-3: Factors of 98461

List of positive integer factors of 98461 that divides 98461 without a remainder.

1, 11, 8951

Step-4: Factors of 98468

List of positive integer factors of 98468 that divides 98461 without a remainder.

1, 2, 4, 103, 206, 239, 412, 478, 956, 24617, 49234

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98461 and 98468. The biggest common factor number is the GCF number.
So the greatest common factor 98461 and 98468 is 1.

Also check out the Least Common Multiple of 98461 and 98468