What is the Greatest Common Factor of 98964 and 98982?

Greatest common factor (GCF) of 98964 and 98982 is 18.

GCF(98964,98982) = 18

We will now calculate the prime factors of 98964 and 98982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98964 and 98982.

How to find the GCF of 98964 and 98982?

We will first find the prime factorization of 98964 and 98982. After we will calculate the factors of 98964 and 98982 and find the biggest common factor number .

Step-1: Prime Factorization of 98964

Prime factors of 98964 are 2, 3, 2749. Prime factorization of 98964 in exponential form is:

98964 = 2² × 3² × 2749¹

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 98964

List of positive integer factors of 98964 that divides 98964 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2749, 5498, 8247, 10996, 16494, 24741, 32988, 49482

Step-4: Factors of 98982

List of positive integer factors of 98982 that divides 98964 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 98964 and 98982. The biggest common factor number is the GCF number.
So the greatest common factor 98964 and 98982 is 18.

Also check out the Least Common Multiple of 98964 and 98982