What is the Greatest Common Factor of 98894 and 98901?

Greatest common factor (GCF) of 98894 and 98901 is 1.

GCF(98894,98901) = 1

We will now calculate the prime factors of 98894 and 98901, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98894 and 98901.

How to find the GCF of 98894 and 98901?

We will first find the prime factorization of 98894 and 98901. After we will calculate the factors of 98894 and 98901 and find the biggest common factor number .

Step-1: Prime Factorization of 98894

Prime factors of 98894 are 2, 197, 251. Prime factorization of 98894 in exponential form is:

98894 = 2¹ × 197¹ × 251¹

Step-2: Prime Factorization of 98901

Prime factors of 98901 are 3, 11, 37. Prime factorization of 98901 in exponential form is:

98901 = 3⁵ × 11¹ × 37¹

Step-3: Factors of 98894

List of positive integer factors of 98894 that divides 98894 without a remainder.

1, 2, 197, 251, 394, 502, 49447

Step-4: Factors of 98901

List of positive integer factors of 98901 that divides 98894 without a remainder.

1, 3, 9, 11, 27, 33, 37, 81, 99, 111, 243, 297, 333, 407, 891, 999, 1221, 2673, 2997, 3663, 8991, 10989, 32967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98894 and 98901. The biggest common factor number is the GCF number.
So the greatest common factor 98894 and 98901 is 1.

Also check out the Least Common Multiple of 98894 and 98901