What is the Greatest Common Factor of 98609 and 98616?

Greatest common factor (GCF) of 98609 and 98616 is 7.

GCF(98609,98616) = 7

We will now calculate the prime factors of 98609 and 98616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98609 and 98616.

How to find the GCF of 98609 and 98616?

We will first find the prime factorization of 98609 and 98616. After we will calculate the factors of 98609 and 98616 and find the biggest common factor number .

Step-1: Prime Factorization of 98609

Prime factors of 98609 are 7, 14087. Prime factorization of 98609 in exponential form is:

98609 = 7¹ × 14087¹

Step-2: Prime Factorization of 98616

Prime factors of 98616 are 2, 3, 7, 587. Prime factorization of 98616 in exponential form is:

98616 = 2³ × 3¹ × 7¹ × 587¹

Step-3: Factors of 98609

List of positive integer factors of 98609 that divides 98609 without a remainder.

1, 7, 14087

Step-4: Factors of 98616

List of positive integer factors of 98616 that divides 98609 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 587, 1174, 1761, 2348, 3522, 4109, 4696, 7044, 8218, 12327, 14088, 16436, 24654, 32872, 49308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98609 and 98616. The biggest common factor number is the GCF number.
So the greatest common factor 98609 and 98616 is 7.

Also check out the Least Common Multiple of 98609 and 98616