What is the Greatest Common Factor of 98044 and 98056?

Greatest common factor (GCF) of 98044 and 98056 is 4.

GCF(98044,98056) = 4

We will now calculate the prime factors of 98044 and 98056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98044 and 98056.

How to find the GCF of 98044 and 98056?

We will first find the prime factorization of 98044 and 98056. After we will calculate the factors of 98044 and 98056 and find the biggest common factor number .

Step-1: Prime Factorization of 98044

Prime factors of 98044 are 2, 127, 193. Prime factorization of 98044 in exponential form is:

98044 = 2² × 127¹ × 193¹

Step-2: Prime Factorization of 98056

Prime factors of 98056 are 2, 7, 17, 103. Prime factorization of 98056 in exponential form is:

98056 = 2³ × 7¹ × 17¹ × 103¹

Step-3: Factors of 98044

List of positive integer factors of 98044 that divides 98044 without a remainder.

1, 2, 4, 127, 193, 254, 386, 508, 772, 24511, 49022

Step-4: Factors of 98056

List of positive integer factors of 98056 that divides 98044 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 103, 119, 136, 206, 238, 412, 476, 721, 824, 952, 1442, 1751, 2884, 3502, 5768, 7004, 12257, 14008, 24514, 49028

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98044 and 98056. The biggest common factor number is the GCF number.
So the greatest common factor 98044 and 98056 is 4.

Also check out the Least Common Multiple of 98044 and 98056