What is the Greatest Common Factor of 98608 and 98628?

Greatest common factor (GCF) of 98608 and 98628 is 4.

GCF(98608,98628) = 4

We will now calculate the prime factors of 98608 and 98628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98608 and 98628.

How to find the GCF of 98608 and 98628?

We will first find the prime factorization of 98608 and 98628. After we will calculate the factors of 98608 and 98628 and find the biggest common factor number .

Step-1: Prime Factorization of 98608

Prime factors of 98608 are 2, 6163. Prime factorization of 98608 in exponential form is:

98608 = 2⁴ × 6163¹

Step-2: Prime Factorization of 98628

Prime factors of 98628 are 2, 3, 8219. Prime factorization of 98628 in exponential form is:

98628 = 2² × 3¹ × 8219¹

Step-3: Factors of 98608

List of positive integer factors of 98608 that divides 98608 without a remainder.

1, 2, 4, 8, 16, 6163, 12326, 24652, 49304

Step-4: Factors of 98628

List of positive integer factors of 98628 that divides 98608 without a remainder.

1, 2, 3, 4, 6, 12, 8219, 16438, 24657, 32876, 49314

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98608 and 98628. The biggest common factor number is the GCF number.
So the greatest common factor 98608 and 98628 is 4.

Also check out the Least Common Multiple of 98608 and 98628