What is the Greatest Common Factor of 98956 and 98974?

Greatest common factor (GCF) of 98956 and 98974 is 2.

GCF(98956,98974) = 2

We will now calculate the prime factors of 98956 and 98974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98956 and 98974.

How to find the GCF of 98956 and 98974?

We will first find the prime factorization of 98956 and 98974. After we will calculate the factors of 98956 and 98974 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98974

Prime factors of 98974 are 2, 17, 41, 71. Prime factorization of 98974 in exponential form is:

98974 = 2¹ × 17¹ × 41¹ × 71¹

Step-3: Factors of 98956

List of positive integer factors of 98956 that divides 98956 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

Step-4: Factors of 98974

List of positive integer factors of 98974 that divides 98956 without a remainder.

1, 2, 17, 34, 41, 71, 82, 142, 697, 1207, 1394, 2414, 2911, 5822, 49487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98956 and 98974. The biggest common factor number is the GCF number.
So the greatest common factor 98956 and 98974 is 2.

Also check out the Least Common Multiple of 98956 and 98974