What is the Greatest Common Factor of 98648 and 98667?

Greatest common factor (GCF) of 98648 and 98667 is 19.

GCF(98648,98667) = 19

We will now calculate the prime factors of 98648 and 98667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98648 and 98667.

How to find the GCF of 98648 and 98667?

We will first find the prime factorization of 98648 and 98667. After we will calculate the factors of 98648 and 98667 and find the biggest common factor number .

Step-1: Prime Factorization of 98648

Prime factors of 98648 are 2, 11, 19, 59. Prime factorization of 98648 in exponential form is:

98648 = 2³ × 11¹ × 19¹ × 59¹

Step-2: Prime Factorization of 98667

Prime factors of 98667 are 3, 19, 577. Prime factorization of 98667 in exponential form is:

98667 = 3² × 19¹ × 577¹

Step-3: Factors of 98648

List of positive integer factors of 98648 that divides 98648 without a remainder.

1, 2, 4, 8, 11, 19, 22, 38, 44, 59, 76, 88, 118, 152, 209, 236, 418, 472, 649, 836, 1121, 1298, 1672, 2242, 2596, 4484, 5192, 8968, 12331, 24662, 49324

Step-4: Factors of 98667

List of positive integer factors of 98667 that divides 98648 without a remainder.

1, 3, 9, 19, 57, 171, 577, 1731, 5193, 10963, 32889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98648 and 98667. The biggest common factor number is the GCF number.
So the greatest common factor 98648 and 98667 is 19.

Also check out the Least Common Multiple of 98648 and 98667