What is the Greatest Common Factor of 98938 and 98956?

Greatest common factor (GCF) of 98938 and 98956 is 2.

GCF(98938,98956) = 2

We will now calculate the prime factors of 98938 and 98956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98938 and 98956.

How to find the GCF of 98938 and 98956?

We will first find the prime factorization of 98938 and 98956. After we will calculate the factors of 98938 and 98956 and find the biggest common factor number .

Step-1: Prime Factorization of 98938

Prime factors of 98938 are 2, 7, 37, 191. Prime factorization of 98938 in exponential form is:

98938 = 2¹ × 7¹ × 37¹ × 191¹

Step-2: Prime Factorization of 98956

Prime factors of 98956 are 2, 11, 13, 173. Prime factorization of 98956 in exponential form is:

98956 = 2² × 11¹ × 13¹ × 173¹

Step-3: Factors of 98938

List of positive integer factors of 98938 that divides 98938 without a remainder.

1, 2, 7, 14, 37, 74, 191, 259, 382, 518, 1337, 2674, 7067, 14134, 49469

Step-4: Factors of 98956

List of positive integer factors of 98956 that divides 98938 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 173, 286, 346, 572, 692, 1903, 2249, 3806, 4498, 7612, 8996, 24739, 49478

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98938 and 98956. The biggest common factor number is the GCF number.
So the greatest common factor 98938 and 98956 is 2.

Also check out the Least Common Multiple of 98938 and 98956