What is the Greatest Common Factor of 98644 and 98656?

Greatest common factor (GCF) of 98644 and 98656 is 4.

GCF(98644,98656) = 4

We will now calculate the prime factors of 98644 and 98656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98644 and 98656.

How to find the GCF of 98644 and 98656?

We will first find the prime factorization of 98644 and 98656. After we will calculate the factors of 98644 and 98656 and find the biggest common factor number .

Step-1: Prime Factorization of 98644

Prime factors of 98644 are 2, 7, 13, 271. Prime factorization of 98644 in exponential form is:

98644 = 2² × 7¹ × 13¹ × 271¹

Step-2: Prime Factorization of 98656

Prime factors of 98656 are 2, 3083. Prime factorization of 98656 in exponential form is:

98656 = 2⁵ × 3083¹

Step-3: Factors of 98644

List of positive integer factors of 98644 that divides 98644 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 271, 364, 542, 1084, 1897, 3523, 3794, 7046, 7588, 14092, 24661, 49322

Step-4: Factors of 98656

List of positive integer factors of 98656 that divides 98644 without a remainder.

1, 2, 4, 8, 16, 32, 3083, 6166, 12332, 24664, 49328

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98644 and 98656. The biggest common factor number is the GCF number.
So the greatest common factor 98644 and 98656 is 4.

Also check out the Least Common Multiple of 98644 and 98656