What is the Greatest Common Factor of 98969 and 98982?

Greatest common factor (GCF) of 98969 and 98982 is 13.

GCF(98969,98982) = 13

We will now calculate the prime factors of 98969 and 98982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98969 and 98982.

How to find the GCF of 98969 and 98982?

We will first find the prime factorization of 98969 and 98982. After we will calculate the factors of 98969 and 98982 and find the biggest common factor number .

Step-1: Prime Factorization of 98969

Prime factors of 98969 are 13, 23, 331. Prime factorization of 98969 in exponential form is:

98969 = 13¹ × 23¹ × 331¹

Step-2: Prime Factorization of 98982

Prime factors of 98982 are 2, 3, 13, 47. Prime factorization of 98982 in exponential form is:

98982 = 2¹ × 3⁴ × 13¹ × 47¹

Step-3: Factors of 98969

List of positive integer factors of 98969 that divides 98969 without a remainder.

1, 13, 23, 299, 331, 4303, 7613

Step-4: Factors of 98982

List of positive integer factors of 98982 that divides 98969 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 47, 54, 78, 81, 94, 117, 141, 162, 234, 282, 351, 423, 611, 702, 846, 1053, 1222, 1269, 1833, 2106, 2538, 3666, 3807, 5499, 7614, 10998, 16497, 32994, 49491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98969 and 98982. The biggest common factor number is the GCF number.
So the greatest common factor 98969 and 98982 is 13.

Also check out the Least Common Multiple of 98969 and 98982