What is the Greatest Common Factor of 98616 and 98626?

Greatest common factor (GCF) of 98616 and 98626 is 2.

GCF(98616,98626) = 2

We will now calculate the prime factors of 98616 and 98626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98616 and 98626.

How to find the GCF of 98616 and 98626?

We will first find the prime factorization of 98616 and 98626. After we will calculate the factors of 98616 and 98626 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98626

Prime factors of 98626 are 2, 11, 4483. Prime factorization of 98626 in exponential form is:

98626 = 2¹ × 11¹ × 4483¹

Step-3: Factors of 98616

List of positive integer factors of 98616 that divides 98616 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

Step-4: Factors of 98626

List of positive integer factors of 98626 that divides 98616 without a remainder.

1, 2, 11, 22, 4483, 8966, 49313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98616 and 98626. The biggest common factor number is the GCF number.
So the greatest common factor 98616 and 98626 is 2.

Also check out the Least Common Multiple of 98616 and 98626